What is the line of the equation PARALLEL to the line y=3x+4 and through the y-intercept of -6?
2 answers:
Answer:
<u>y = 3x - 6</u>
Step-by-step explanation:
The line here is <u>parallel</u>
- Slope remains the same
- Y-intercept is now -6
<u>Equation of line</u>
- y = mx + c [where m = slope and c = y-intercept]
- <u>y = 3x - 6</u>
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 :)
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