Which equation, in slope-intercept form, matches the equation shown?


a line that goes through the points (0, -4) and (6, -9)


Question 4 options:


y=47x−4


y=56x+1


y=−56x−4


y=−47x+1


Please help!

Answers

Answer 1

Answer: i think it is y=−56x−4

Step-by-step explanation:

Answer 2

The equation in the slope intercept form which passes through the points ( 0, -4 ) and ( 6 , 9 ) is y = (-5 / 6)x - 4.

The correct answer is Option C.

Given data:

To find the equation of a line in slope-intercept form (y = mx + b) that passes through the points (0, -4) and (6, -9), we need to determine the slope (m) and the y-intercept (b).

First, calculate the slope (m):

m = (change in y) / (change in x)

m = (-9 - (-4)) / (6 - 0)

m = (-9 + 4) / 6

m = -5 / 6

Now that we have the slope, we can use one of the given points (let's use (0, -4)) to solve for the y-intercept (b):

-4 = (-5 / 6) * 0 + b

-4 = b

So, the y-intercept (b) is -4.

Now, we can write the equation of the line in slope-intercept form:

y = (-5 / 6)x - 4

Hence, the equation of the line is y = (-5 / 6)x - 4.

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The complete question is attached below:

Which equation, in slope-intercept form, matches the equation shown?

a line that goes through the points (0, -4) and (6, -9)

A) y = ( 4/7 )x - 4

B) y = ( 5/6 )x + 1

C) y = ( -5/6 )x - 4

D) y = ( -4/7 )x + 1


Related Questions

How can you use factoring to solve quadratic equations in standard form?

Answers

Step-by-step explanation:

The roots or the zeroes of a quadratic equation are its x-intercepts, which are the points on the graph where it crosses the x-axis. When a quadratic equation is in standard form, ax² + bx + c, the usual goal is to find the binomial factors that could help us determine the roots or solutions to the given equation.  Once you find the factors, then you will use the Zero-Product Property to solve for the solutions.  

For example, if you were given the following quadratic equation in standard form, x² + 6x + 8 = 0, and were tasked to find its factors.

x² + 6x + 8 = 0

where a = 1, b = 6, and c = 8:

In order to find the factors of the given quadratic equation, we must find the  factors with a product ac, and sum b.  

Using 2 and 4 as possible factors produce a product that is equal to

product of ac:   2 × 4 = 8

sum of b:           2 + 4 = 6.

Therefore, the factors of the given quadratic equation, x² + 6x + 8 = 0 are:

(x + 2) (x + 4).

Using the Zero-Product Property, where it states that for any real numbers, u and v, if uv = 0, then u = 0 or v = 0.  

Thus, setting the binomial factors of the given quadratic equation to zero will provide the solutions.

(x + 2) (x + 4)

x + 2 = 0

x + 2 - 2 = 0 - 2

x = -2

x + 4 = 0

x + 4 - 4 = 0 - 4

x = -4

Therefore, the solutions to the quadratic equation, x² + 6x + 8 = 0 are x = -2, and x = -4.

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Answers

Answer:

0.01miles/day

Step-by-step explanation:

1: Convert 9cm to miles

[tex]9cm*(\frac{1m}{100cm})*(\frac{1km}{1000m})*(\frac{1mile}{1.609km})=0.000055935miles[/tex]

2: Convert 5.5 minutes to days

[tex]5.5minutes*(\frac{1hour}{60minutes})*(\frac{1day}{24hours})=0.003819444 days[/tex]

3. Set miles over days

[tex]\frac{0.000055935miles}{0.003819444days}[/tex]

4: Divide to get the answer

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5: Round to get the final answer

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

Start with the standard form of an equation of a straight line:  y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).

y=mx+b

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Answer:

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Answer:

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Answers

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Answer:

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Step-by-step explanation:

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a

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Learn more about translation here:

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Answers

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Answer:

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Step-by-step explanation:

Have a nice day! :-)

Answer:

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Step-by-step explanation:

less than means you do this after what comes next

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