What is the equation of the line that has a y-intercept of -7 and is perpendicular to the line represented by the equation below

Question

Scrat [10]

3 years ago

6

What is the equation of the line that has a y-intercept of -7 and is perpendicular to the line represented by the equation below

? 8x 7y=19

Mathematics

1 answer:

kramer · Answer 1 · 2022-03-21T01:11:38+03:00

8x + 7y = 19
- 8x
7y = 19 - 8x
÷ 7
y = 2 5/7 - 8/7x
So if that line is perpendicular to the line you're looking for, then the gradient (x value/slope) is the negative reciprocal to the gradient you're looking for, which would then be 7/8. You are told it has a y intercept of -7, so your final answer is:
y = -7/8x - 7
Hope this helps!