Write an equation of the line containing the specified point and parallel to the indicated line. Please show work. (-7,0),5x+2y=6

Question

anonymous · Answer

First you will need to find the slope of the given line.  Since we are trying to generate a parallel line we will want to have the same slope.  Solve the given equation for y to have it in the from y = mx + b, and m will be your slope.

Then you can use that slope and the point (-7,0) to find the line using the point-slope form $$y-y _{1}=m(x-x _{1})$$.  Where -7 is the $$x _{1}$$ and 0 is the $$y _{1}$$.

anonymous · Answer

Get the slope by rewriting the equation of that line in the form $y=mx+c$, which gives $$y=-\frac{5}{2}x + 3\ \: => m = -\frac{5}{2}$$ Use the equation of the line formula to get the new equation: $$y - y_{1} = m(x - x_{1}) \: ; \: x_{1} = -7 \: ; \: y_{1} = 0 $$
Which yields $$y = -\frac{5}{2}x - \frac{35}{2}$$