SOLUTION: write an equation of the line that passes through the given point and is parallel to the given line. Write the answer in a slope intercept form (0,4) 8y -48x=3 y= -1/6x + 6

Algebra ->  Coordinate-system -> SOLUTION: write an equation of the line that passes through the given point and is parallel to the given line. Write the answer in a slope intercept form (0,4) 8y -48x=3 y= -1/6x + 6       Log On


   

Question 202116: write an equation of the line that passes through the given point and is parallel to the given line. Write the answer in a slope intercept form (0,4) 8y -48x=3
y= -1/6x + 6
y=-1/6x + 4
y=6x -4
y= -1/4x + 6
y=6x + 4
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given: point (0,4); line 8y-48x=3

First, we transform the given line into slope-intercept form,red%28y=mx%2Bb%29:
8y-48x=3
8y=48x%2B3 ----> cross%288%29y%2Fcross%288%29=%2848x%2B3%29%2F8
y=cross%2848%296x%2Fcross%288%29%2B3%2F8
red%28y=6x%2B3%2F8%29 ---> slope=m=red%286%29
*Remember, parallel lines have the same slope.

So thru point (0,4) via slope-intercept form
4=%280%29%286%29%2Bb
b=4
So therefore it follows,
highlight%28red%28y=6x%2B4%29%29, Answer
----> red%288y-48x=3%29;green%28y=6x%2B4%29

Thank you,
Jojo