Question

Given below are descriptions of two lines.Line 1: Goes through (12,30) and (-10,-14)Line 2: Goes through (-3,-4) and (-1,0)The slope of Line 1 is m= The slope of Line 2 is m=

Answer 1

Given the descriptions of two lines.

For the given lines, we will find the slope using the following formula:

$slope=m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}$

Line 1: Goes through (12,30) and (-10,-14)

So, the slope of the line will be:

$m=\frac{30-(-14)}{12-(-10)}=\frac{44}{22}=2$

Line 2: Goes through (-3,-4) and (-1,0)

So, the slope of the line will be:

$m=\frac{-4-0}{-3-(-1)}=\frac{-4}{-2}=2$

Both lines have a slope = 2

So, Finally, line 1 is parallel to line 2