SOLUTION: Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (-8,7) and parallel to the line whose equation is 9x-2y-5=0 The

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (-8,7) and parallel to the line whose equation is 9x-2y-5=0 The       Log On


   

Question 848316: Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (-8,7) and parallel to the line whose equation is 9x-2y-5=0
The equation of the line in point-slope form (and general form) is
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The line you are looking for will have the same slope as 9x-2y-5=0, because the two lines are specified to be parallel. This means two things:

(*) The slopes are 9/2, for both lines;
(*) The line you want to find as standard form can be expressed as 9x-2y+c=0.

You want to solve for c, and substitute the coordinates for the point which is specified to be on the line.
c=-9x%2B2y
c=-9%2A%28-8%29%2B2%287%29
c=72%2B14
c=86
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The line you want in your standard form is highlight_green%289x-2y%2B86=0%29.

GENERAL FORM
Solve for y and adjust according to highlight_green%28y=mx%2Bb%29 format. This is also called slope-intercept form.

POINT-SLOPE FORM
This form comes from the definition of slope. Fitting the values into the equation, highlight%28y-7=%289%2F2%29%28x%2B8%29%29.