Question

Find the equation of the line with slope = 8 and passing through (-5,-33). Write your equation in the form y = mx +b

Answer 1

y = 8x + 7

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