Question 703250
How do you determine the equation of a line that has the same y int.
 as the line y=8x+6? 
Any equation in the form y = mx+6 has a y intercept of 6
:
and is perpendicular to the line 4x+7y-3=0
Put the equation into slope intercept form to find the slope
4x + 7y - 3 = 0
7y = -4x + 3
y = {{{-4/7}}}x + {{{3/7}}}
:
Slope relationship between perpendicular lines, m1*m2 = -1
m1 = {{{-4/7}}} find m2
{{{-4/7}}} * m2 = -1
 multiply both sides by {{{-7/4}}}
m2 = {{{7/4}}}
:
The equation of the perpendicular line with a y intercept of 6:
y = {{{7/4}}}x + 6