Question 459714
Write the slope-intercept equation for the line that passes through (-9, 9) and is perpendicular to -9x – 2y = 10 
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Find the slope of the given equation, put it in the slope intercept form
-9x - 2y = 10
-2y = 9x + 10
y has to be positive, mult by -1
2y = -9x - 10
Divide by 2
y = {{{-9/2}}}x - 5
:
m1 = {{{-9/2}}} is the slope
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The slope relationship of perpendicular lines: m1*m2 = -1. Find m2
{{{-9/2}}}*m2 = -1
m2 = {{{2/9}}}
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Find the equation using y - y1 = m(x - x1)
m={{{2/9}}}, x1=-9, y1=9
y - 9 = {{{2/9}}}(x - (-9))
y - 9 = {{{2/9}}}(x + 9)
y - 9 = {{{2/9}}}x + 2
y = {{{2/9}}}x + 2 + 9
y = {{{2/9}}}x + 11