What is the equation of this line in slope-intercept form?
A: y = 4x + 1
B: y=−4x+1
C: y=4x−1
D: y=−14x+1
Answers
Answer: B
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
We can first eliminate C, because the y-intercept of the graph is 1.
To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).
Slope = (y2 - y1) / (x2 - x1)
= (-3 - 5) / (1 - (-1))
= (-3 - 5) / (1 + 1)
= -8/2
= -4
Plug in the slope and y-intercept, we get y = -4x + 1
Related Questions
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21? select each correct answer. (−1, −6) (7, 0) (11, 3) (−3, 3).
Answers
Answer:
(-1, -6), (7, 0) , and (11, 3)
Step-by-step explanation:
3x - 4y = 21 Solve the equation for y
3x - 21 = 4y
(3x - 21)/4 = y
Now use the ordered pair and find the true ordered pair
(-1, -6) [ (3)(-1) - 21]/ 4 ; (-3 -21)/4 ; (-24)/4 = -6 True
(7, 0) [(3)(7) -21]/4 ; (21 - 21)/4; 0/4 = 0 True
(11, 3) [(3)(11) - 21]/4; (33 - 21)/4; 12/4 = 3 True
(-3 ,3) [(3)(-3) - 21]/4 (-9 -21)/4 ; -30/4 = -7.5 No
what is the slope of the line that contains these points x- -1,0,1,2 y- 10,18,26,34
Answers
Answer:
The slope is 8
Step-by-step explanation:
Write an equation in point-slope form of
the line that has a slope of 2 and passes
through point (5,-3).
Answers
Answer:
(y+3)=2(x-5)
Step-by-step explanation:
Solve for x then y.
y+10=-1/6(x-6)
Answers
Answer:
y= -x/6-9
x= -6y-54
Step-by-step explanation:
solve for x
9 = x/12
Answers
Answer:
X=108
Step-by-step explanation:
Step-by-step explanation:
I have solved the answer in the attached image please ask if you have any query
in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.
Answers
Answer:
0
Step-by-step explanation:
if x is 3 then;
3(3-1)=2×3+c
c=0
so if c=0 then
x=3
can someone help me with this please:)
Answers
Answer:
A
Step-by-step explanation:
[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]
. Write the equation of a line passing through the points (3,-1) and (6,7).
(Hint - Use the Calculator)
Answers
Step-by-step explanation:
the most usual firm of line equation is
y = ax + b
a is the slope of the line and is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-interception (the bake of y when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.
the slope a :
x changes by +3 (from 3 to 6)
y changes by +8 (from -1 to 7)
so, the slope is +8/+3 = 8/3
our line equation now looks like
y = (8/3)x + b
let's simply use the first point
-1 = (8/3)×3 + b
-1 = 24/3 + b = 8 + b
-9 = b
and the full line equation is
y = (8/3)x - 9
Use algebra to show that, for this machine, if x is a a-1
Help me please thank you 20 pts
Answers
Answer:
[tex]x = a - 1[/tex]
Step-by-step explanation:
from what you told me you put it in a formula
so I says it in a algebraic format
Select the choice that translates the following verbal phrase correctly to algebra: (1 point)
the product of 12 and y increased by 11
12(y + 11)
12y + 11
12 + 11y
12(11y)
Answers
Answer:
[tex]⟼12(y + 11)[/tex]
Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )
Answers
Answer:
8p -12Step-by-step explanation:
Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )
4(p + 3) +4(p - 6) =
4p + 12 + 4p - 24 =
8p -12
1) An airplane is at 10,000 feet above the ground. It needs to fly higher to reach the regular flying height. It increases its height at a constant rate of 2,000 feet per minute. How high will the plane be in 10 minutes?
Answers
Answer:
20000
Step-by-step explanation:
Answer: 30,000 feet
Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.
Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag.
Answers
Answer:
whaat?
Step-by-step explanation:
Use the model to find the missing number in the pair of equivalent expressions.
15 + 9 = ?(5 + 3)
What number is missing from the expression?
Answers
Answer:
3
Reasoning:
[tex]3(5+3)=15+9[/tex]
Distribute three to the numbers to get 15+9.
HELP THIS IS VERY IMPAORTANT
Answers
Answer:
The answer is the second option
Step-by-step explanation:
All you have to do is replace x with the data given.
Example: f(x) = 3[tex]x^{2}[/tex] - 6
x = 0 => f(x) = 3 x [tex]0^{2}[/tex] - 6 = 3 x 0 - 6 = -6
x = 1 => f(x) = 3 x [tex]1^{2}[/tex] - 6 = 3 x 1 - 6 = 3 - 6 = -3
x = 2 => f(x) = 3 x [tex]2^{2}[/tex] - 6 = 3 x 4 - 6 = 12 - 6 = 6
Between which two integers does the square root of 117 lie
Answers
Answer: 10 and 11 or -11 and -10
Answer:
Step-by-step explanation:
10 and 11 or -10 and -11
There are 22 tables in the cafeteria. Each table can seat 8 students.There are 4 lunch periods each day.How many students can the cafeteria seat each day?
Answers
Answer:
704 students can fit in the cafeteria a day
[tex]\sqrt{x} +1=3\\[/tex]
Answers
Answer:
x = 4
Step-by-step explanation:
√x + 1 = 3
√x = 3 - 1
√x = 2
(√x)² = (2)²
x = 4
What is the name given to this shaded region
Answers
Answer:
The name given to the shaded region would be the positive interval because all f(x) values in that region are positive.
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
Answers
____x0.01 = 180.4932
what's the answer?
Answers
180.4932/0.01= 18049.32
or
Just move the decimal point twice to the right
Which expression shows the distance on the number line between −3 and −10 ?
Answers
Answer:
D. |-3 - (-10)|
Step-by-step explanation:
use a point on the number line to represent a number ot whose absulute vaue is?
Answers
Answer:
A
Step-by-step explanation:
What is a rate in math.
Answers
Answer:
a ratio between two different units
for example 60miles per 5 hours
Step-by-step explanation:
let me know if you need unit rate yoo :)
As a civil engineer, you are drafting the plans
for a new water treatment plant. The water
mains for this plant measure 48 inches in
diameter. At each joint between pipes in the
main, a strip of rubber will be bonded to the
outside of the pipe joint to improve the seal.
About how long will the rubber seal be when
it is trimmed to fit around the pipe?
Answers
The distance around a circle is the circumference.
Circumference = Pi x diameter.
Circumference = 3.14 x 48
Circumference = 150.72 inches
Round the answer as needed.
Maria decides to reduce her homework time of 8 hours per week by 15%. Calculate her new homework time. Give your answer in hours and minutes. ..
Answers
6 hours and 48 minutes
the point (-2,6) is on a line with a slope of 3/4. If the point -8,k) is also on the same line what is the value of k
Answers
For a point with a slope 3/4 and which passes through the points (-2, 6) and (-8, k), the value of k is 1.5
The line passes through the points (-2, 6) and (-8, k)
That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]
The slope of the line, m = 3/4
The formula for calculating the slope of a line is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above
[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]
Therefore, the value of k is 1.5
Learn more here: https://brainly.com/question/25613656
What is mRS?shown on the picture
Answers
Answer:
RS = 80°
Step-by-step explanation:
The sum of the arcs of a circle is 360°.
RS +ST +TR = 360°
RS = 360° -ST -TR = 360° -130° -150°
RS = 80°
find the slope of the line that passes through the points (-2 3 )and( 4 3)
Answers
Step-by-step explanation:
Given points,
( -2 , 3) and (4,3)
we know,
slope = y_2 - y_1 / x_2 - x_1
so according to it we got,
→ (3 - 3)/4 - (-2)
→ 0/6
hope this answer helps you dear! take care.
Hello!
To find the slope when we have 2 points, we use the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{3-3}{4-(-2)} \\\frac{0}{6} \\0[/tex]
Here's something for you to remember:
When the y-coordinates of two points are the same, the slope is 0.Hope it helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Will mark brainiest if right Is this function linear or nonlinear?
y=3x−5
Answers
Answer: This function is linear because it forms a straight line when graphed.
Would appreciate brainly <3
