What is the equation of line f?

Question

Line d is represented by the equation y=-3/4x+8. Line f is the equation parallel to line d that has an x-intercept at the point (-4,0).

Answer 1

Very easy, parallel means that if two lines are parallel, they have the same slope and doesn't mean they are the same. Then m = -3/4

 

If we represent by m the slope of the line that we are looking for the equation will be y = mx + b (line f).......(1)

 

Now, the point (-4, 0) satisfy the equation of the line f; where x = -4 and y = 0

Then plug-in the numbers in (1):

 

0 = -3/4(-4) +b =====> then b = -3

 

Therefore:

f equation is going to be: y = -3/4x - 3

 

Answer 2

"Parallel" means that the line holds the same slope, which is ^-3/₄.

What we can use here is the point-slope formula:

y - y₁ = m(x - x₁)

 

We have our slope, and we're given our point (-4, 0), so we put them into the formula:

y - 0 = -³/₄(x - (-4))

y = -³/₄(x + 4)

y = -³/₄x - 3