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:

`$$slope=m=(rise)/(run)=(y_2-y_1)/(x_2-x_1)$$`

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

So, the slope of the line will be:

`m=(30-(-14))/(12-(-10))=(44)/(22)=2`

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

So, the slope of the line will be:

`m=(-4-0)/(-3-(-1))=(-4)/(-2)=2`

Both lines have a slope = 2

So, Finally, line 1 is parallel to line 2