What is the slope intercept form of the equation of the line that passes through the points (2,7) and (4,-1)

Slope intercept form is y = mx + b.

Y = coordinate y.

M = Slope

X = coordinate x.

B = y-intercept.

Slope formula: (y2-y1) / (x2-x1)

Plug in: (-1 - 7) / (4 - 2) = -4.

We can just insert the pair (2,7) as our x and y to solve b.

7 = -4(2) + b.

Solve for b.

7 = -8 + b.

-b = -8 -7

-b = -15

b = 15.

Original equation:

y = mx + b

y = -4x + 15

y = -4x + 15.

Step-by-step explanation:

The slope = (-1-7)/(4-2)

= -8/2

= -4.  

So we have:

y = -4x + b  

To find b, we plug in the point (2, 7):

7 =  -4(2) + b

b = 7+8 = 15.

So the equation is

y = -4x + 15.

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step-by-step explanation: