Question

The graph of a line goes through the points (-4,3) and (6,8). What is the equation

of the line in slope-intercept form?

Answer 1

y = 1/2x+5

Explanation:

You have two points so you can find the slope

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

m = (8-3)/(6 - -4)

(8-3)/(6+4)

5/10

1/2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1/2 x+b

Substitute a point into the equation

8 = 1/2(6)+b

8 = 3+b

b=8-3 = 5

y = 1/2x+5