What is the slope of a line that passes through the point (−1, 1) and is parallel to a line that passes through (4, 6) and (−1, −4)?

Question

dls · Answer

Parallel lines share the same slope so just find the slope of the line passing through (4,6) and (-1,-4) using the old slope formula i.e.
$$\Huge Slope(m)=\frac{y_2-y_1}{x_2-x_1}$$

dls · Answer

x1=4
x2=-1
y1=6
y2=-4

mathmale · Answer

Find this slope (of the given line).  Next, determine the slope of a line perpendicular to the first line.  How would you do that?

anonymous · Answer

ok wait a second i'm working it out

anonymous · Answer

@DLS Is the slope m=-10/5?

dls · Answer

no 10/5=2

anonymous · Answer

how did you get that? I followed the equation

dls · Answer

Nope you made a mistake.$$\Huge \frac{-4-6}{-1-4 } = \frac{\cancel{-}10}{\cancel{-}5}=2$$

anonymous · Answer

so the slope is 2?

dls · Answer

yes