Answer:
y = 8x + 7
Step-by-step explanation:
To find the equation of a line
y = mx + c
y = intercept point y
m = slope of the line
x - intercept point x
c = intercept
We are provided with some information
Slope = 8
Point ( -5 , -33)
Step 1
Find slope
But fortunately we are given the slope
slope = m = 8
Step 2: substitute m into the equation
m = 8
y = mx + c
y = 8x + c
Step 3: substitute the point into the equation
( -5, -33)
y = 8x + c
x = -5
y = -33
-33 = 8(-5) + c
-33 = -40 + c
-33 + 40 = c
c = -33 + 40
c = 7
Step 4: substitute c = 7 into the equation
y = 8x + c
y = 8x + 7
The equation of the line is
y = 8x + 7
