Answer:
y = -5x/4 + 0
Step-by-step explanation:
Find the slope
y = -5/4x - 4
Slope is the coefficient of x
Slope m = -5/4
Substitute m into point slope form equation
y - y1 = m(x - x1)
y - y1 = -5/4( x - x1)
Substitute the point into the equation
( 4 , -5)
x1 = 4
y1 = -5
y - y1 = -5/4( x - x1)
y - (-5) = -5/4( x - 4)
y + 5 = -5/4(x - 4)
Using a slope intercept form equation
y = mx + c
y - intercept point y
m - slope
x - intercept point x
c - intercept
open the bracket with -5/4
y + 5 = -5(x - 4)/4
y + 5 = (-5x + 20)/4
y = (-5x + 20)/4 - 5
LCM = 4
y =( -5x + 20 - 20)/4
y = ( -5x + 0)/4
Rearrange in
y = mx + c
y = -5x/ 4 + 0/4
y = -5x/4 + 0
The equation of the line is
y = -5x/4 + 0
