What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1)

Answers

Answer 1

Step-by-step explanation:

Hey there!

Note: Use double point formula for finding the eqaution which passes through two points.

Given;

The points are; (1,-3) and (3,1).

Use double point formula.

[tex](y - y1) = \frac{y2 - y1}{x2 - x2} (y - y1)[/tex]

Put all values.

[tex](y + 3) = \frac{1 + 3}{3 - 1} (x - 1)[/tex]

Simplify it.

[tex](y + 3) = \frac{4}{2} (x - 1)[/tex]

[tex]y + 3 = 2(x - 1)[/tex]

[tex]y + 3 = 2x - 2[/tex]

[tex]y = 2x - 2 - 3[/tex]

[tex]y = 2x - 5[/tex]

Therefore, the eqaution is y = 2x-5.

Alternative:

Steps:

Find slope using slope formula and use one point formula.Simplify in the form of y = mx+c form.

Formula:

Slope = (y2-y1)/(x2-x1)One point formula= (y-y1)= m(x-x1)

The points are; (1,-3) and (3,1).

Now;

Slope= (1- (-3))/(3-1)

= (1+3)/2

= 2

Again;

Using one-point formula.

(y+3) = 2(x-1)

y+3= 2x-2

y = 2x -5

Therefore, the equation is y = 2x-5.

(You can follow up any method you want)

Hope it helps....


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Answer:

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Which equation represents the relationship “4 less than a number is 10?”

Answers

X+3=7
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Answer:

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Step-by-step explanation:

Any variable can be used to represent the number, I choose to use "x" in this case.

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Step-by-step explanation:

John spent $19.00 at the tuck shop. He bought 2 chocolate bars and 3 packets of
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Answers

Answer:

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Step-by-step explanation:

As, cost of 1 chocolate = x

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So 5x =10

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Lili runs a small day care business, caring for 3 children.
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The situation is represented by the equation below, where t is the total
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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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                                 PLS IF IT HELPED GIVE ME BRAINLIEST

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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What is h?

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i hope it helped you sorry if it didn't

Answer:

25%

Step-by-step explanation:

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