Find the equation of a line through (4, -3) that is parallel to the line that passes through these points (-4,7) and (2,4). Write your answer in standard form (Ax + By = C). Show all your work.

Question

Find the equation of a line through (4, -3) that is parallel to the line that passes through these points (-4,7) and (2,4).  Write your answer in standard form (Ax + By = C).  Show all your work.

anonymous · Answer

The first step would be to find the slope of a line passing through (-4,7) and (2,4). You can do this with the slope equation $$slope = \frac{ y _{2}-y _{1} }{ x _{2}-x_{1}}$$Plugging in those points would yield (7-4)/(-4-2) which gives -1/2. 
Lines that are parallel have the same slope so your new line needs the slope -1/2. 
You can use the formula $$y-y _{1} = m(x-x _{1})$$ with y1 = -3  and x1 = 4 and m = -1/2
This will give you y = (-1/2)x+5. In Ax + By = C form, this is x+2y=-2.

anonymous · Answer

thanks so x+2y=-2 is the answer riggt