SOLUTION: Write the slope-intercept equation for the line that passes through (-7, 6) and is perpendicular to -7x + 9y = -2 Please show all of your work.

Question 525262: Write the slope-intercept equation for the line that passes through (-7, 6) and is perpendicular to -7x + 9y = -2 Please show all of your work.

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
The line perpendicular to -7x +9y = -2 has the inverse reciprocal slope.
First get the line into slope-intercept form.
-7x +9y = -2
9y = 7x -2
y = (7/9)x - 2/9
.
m = slope = 7/9
.
So, the perpendicular line would have a slope of -9/7.
.
y = -(9/7)*x + b
.
Use the point (-7,6) to find 'b'.
.
6 = -(9/7)*(-7) + b
6 = 9 + b
b = -3
.
y = -(9/7)x -3
.
In the following graph:
the red line is y = (7/9)x - 2/9
the green line is y = -(9/7)x -3
.

RELATED QUESTIONS
Write the slope-intercept equation for the line that passes through (-7, 6) and is... (answered by mananth)

Write the slope-intercept equation for the line that passes through (-7, 6) and is... (answered by mananth)

Write the slope-intercept equation for the line that passes through (-7, 6) and is... (answered by lwsshak3,Gogonati)

Write the slope-intercept equation for the line that passes through (-7, 6) and is... (answered by mananth,armstrkl)

Write the slope-intercept equation for the line that passes through (-2, 3) and is... (answered by ewatrrr)

Write the slope-intercept equation for the line that passes through (-2, 3) and is... (answered by josgarithmetic)

write slope intercept equation for the line that passes through (-7,6) and is... (answered by lwsshak3)

write the slope-intercept equation for the line that passes through (14, -2) and is... (answered by oberobic)