SOLUTION: Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (-9,3) and parallel to the line whose equation is 2x-5y-8=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 (-9,3) and parallel to the line whose equation is 2x-5y-8=0 The       Log On


   

Question 848251: Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (-9,3) and parallel to the line whose equation is 2x-5y-8=0
The equation of the line in point-slope form is
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
NOTE: Edited because of mistake with slope-----Now been corrected.

The slopes are the same for parallel lines in the plane. Keeping in the given standard form, The equation you want to find is 2x-5y+c=0. Solve for c and then substitute the given point needed to be on the line.

c=-2x%2B5y
c=-2%28-9%29%2B5%2A3
c=18%2B15
c=33
The line then in standard form is highlight%28-2x%2B5y%2B33=0%29.

You wanted the equation in both point-slope form and in general form.

GENERAL FORM:
Solve for y and adjust into general form, variable term plus (or minus) constant term. Solving for y will give a formula; not a value.

POINT-SLOPE FORM:
You will be able to read the slope directly from the "general" form or from the standard form; and then use the formula for slope (which is vertical change divided by horizontal change) to obtain the point-slope form.
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You will see that slope m=2%2F5. Doing the steps, you will find highlight%28y-3=%282%2F5%29%28x%2B9%29%29.