Question

Write the equation of the line if the slope = -3/5 and the line passes through (-4, 0). Show your work.

Answer 1

Answer: y = (-3x - 12)/5

Step-by-step explanation:

y- y1 = a. ( x - x1) . Let x1 = -4 and y1 = 0

Replacing these values in the equation above, we find:

y - 0 = -3/5 . ( x - (-4) ) ;

y = (-3x - 12)/5 is the answer.

Answer 2

Answer:

3x+5y+12=0

Step-by-step explanation:

This information is given in the question:

m=-3/5

x1=-4

y1=0

The formula for the equation of a line is:

y-y1=m (x-x1)

From this we can make a substitution

y-0=-3/5 (x--4)

Next simplify

y=-3/5 (x+4)

Multiply both sides of the equation by 5

5y=-3x-12

Make the right side of the equation equal to zero

3x+5y+12=0

This is the equation of the line in general form.