SOLUTION: Write the slope-intercept equation of the line that passes through the points (2,-3) and perpendicular to 7y+4x=-14. Include the formulas used to complete the work.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write the slope-intercept equation of the line that passes through the points (2,-3) and perpendicular to 7y+4x=-14. Include the formulas used to complete the work.      Log On


   

Question 1205630: Write the slope-intercept equation of the line that passes through the points (2,-3) and perpendicular to 7y+4x=-14. Include the formulas used to complete the work.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
7y%2B4x=-14
4x%2B7y=-14
If equation for line is in form, Ax%2BBy=C, the line perpendicular has left member Bx-Ay=D, and right-member may be different than C. You could try to use slope-intercept form to help to see the change in the left member.

Continuing with your given equation, you want 7x-4y=7%2A2-4%28-3%29,
7x-4y=14%2B12
highlight%287x-4y=26%29

For slope-intercept form, solve for y in terms of x and adjust.
-4y=-7x%2B26
y=%287%2F4%29x-26%2F4
y=%287%2F4%29x-13%2F2--------or if you prefer, y=%287%2F4%29x-6%261%2F2.