Find the equation (in terms of x ) of the line through the points (-2,5) and (2,0) y =

Question

Find the equation (in terms of ) of the line through the points (-2,5) and (2,0)

y=

Answer 1

(-2,5) (2,0) are point with a line through them, with slope = (5-0)/(-2-2) = 5/-4 =-5/4

the line is

y=-5x/4 + b. solve for b by plugging in either point

0= -5(2)/4 + b = -5/2 + b

b =5/2

the line is y=-5x/4 + 5/2

or if you want to eliminate fractions

multiply by 4

4y =-5x +10

or to eliminate negative signs:

5x +4y = 10