Question 777596
Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form.
(8, −2), 7x = 9y − 8
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Equation of a line: y=mx+b, m=slope, b=y-intercept
7x = 9y − 8
9y=7x+8
y=7x/9+8/9
slope of given line, m=7/9
slope of perpendicular line=-9/7 (negative reciprocal)
Equation:
y=-9x/7+b
solve for b using given coordinates(8,-2) on the line 
-2=-9*8/7+b
-2=-72/7+b
b=58/7
Equation of perpendicular line:
y=-9x/7+58/7