Question

What is the line of the equation PARALLEL to the line y=3x+4 and through the y-intercept of -6?

Answer 1

Answer:

y = 3x - 6

Step-by-step explanation:

The line here is parallel

• Slope remains the same
• Y-intercept is now -6

Equation of line

• y = mx + c [where m = slope and c = y-intercept]
• y = 3x - 6

Answer 2

Parallel lines have slopes that are equal to one another.

Slope intercept form is:

y = mx + b (where m = slope and b = y-intercept)

the equation of the 1st line

y = 3x + 4 so it’s slope (m) = 3

the problem tells us the y-intercept of the second line is -6.

so we plug the two knowns into slope intercept form to get the equation of the second line:

y = 3x - 6

I hope this helps and is the BRAINLIEST!

Great luck with your studies :)