Can you me to determine the y-intercept of 7 and slope

slope = 2.5 and the y intercept is 3

Step-by-step explanation:

To find the slope we can use the formula

m = (y2-y1)/(x2-x1)

I will use the point (2,8) (6,18)  We can pick any 2 point we want.

 = (18-8)/(6-2)

  = (10/4)

  = 2.5

To find the y intercept we need to find the equation of the line.

We will use the point slope form

y-y1= m(x-x1)

y-8 = 2.5(x-2)

Distribute the 2.5

y-8 = 2.5x-5

Add 8 to each side

y-8+8 = 2.5x-5+8

y = 2.5x+3

This equation is in slope intercept form  y = mx+b

where the slope is 2.5 and the y intercept is 3

Hi There!

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Find The Slope:

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Find The Y-Intercept:

Substitute using x = 2 and y = 8

Use y = mx + b

Substitute: 8 = 2.5(2) + b

Simplify: 8 = 5 + b

Subtract 5 too both sides: 8 - 5 = 5 + b - 5

Simplify: 3 = b

Y-Intercept = 3

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Point Slope Form: y - 8 = 2.5(x - 2)

Slope Intercept Form: y = 2.5x + 3

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Hope This Helps :)

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