Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates: (4,−2) , (0,5)

Answer 1

(4,-2) (0,5) are two points whose line through them has slope = (5--2)/0-4) = -7/4 = m

the y intercept is (0,5) or y=5 = b

slope intercept form is

y=mx+b

y=-7x/4 + 5 is the equation of the line through the two points in slope intercept form

or if you want to eliminate fractions and negative signs

4y=-7x + 20

7x + 4y + 20

check the solution, plug in the points

7(0)+4(5) = 20 that's (0,5)

and (4,-2) 7(4) +4(-2) = 28-8=20