Question

Write an equation in slope-intercept form for the line that passes through (8,1) and (4,3).

A. y= 1/2x + 5

B. y= −2x + 5

C. y= −1/2x + 5

D. y= −1/2x + 15

Answer 1

The answer would be part C

Explanation:

First we find the gradient by y2-y1/x2-x1

So it would be;

3-1/4-8

2/-4

-1/2

Now we put in the gradient and the points (4,3) in the equation y=mx+c;

3=-1/2(4)+c

3=-2+c

3+2=c

5=c

Finally we put c in the equation;

y=mx+c

y=-1/2x + 5