slope intercept

Question

Write the slope-intercept form of the equation of the line through the given points.

18) through: (-2, 4) and (2, -2)

Answer 1

slope = [4 - (-2)]/(-2 - 2) = 6/(-4) = -3/2

 

y = -3/2 x + b

 

substitute one pair of values for x and y

 

(4) = -3/2 (-2) + b

4 = 3 + b

1 = b

 

check against the other pair of coordinates

 

y = -3/2 x + 1

(-2) = -3/2 (2) + 1

-2 = -3 + 1