A line contains the points (-12, -60) and (60, -42).What is the slope of the line in simplified form?
Accepted Solution
A:
The slope of the line in simplified form is [tex]\frac{1}{4}[/tex]Step-by-step explanation:The slope of a line which contains points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex]is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]The given is:1. Point (-12 , -60) lies on the line2. Point (60 , -42) lies on the lineWe need to find the slope of the line∵ [tex](x_{1},y_{1})[/tex] = (-12 , -60)∵ [tex](x_{2},y_{2})[/tex] = (60 , -42)- Substitute these values in the rule∴ [tex]m=\frac{-42-(-60)}{60-(-12)}[/tex]∴ [tex]m=\frac{-42+60}{60+12}[/tex]∴ [tex]m=\frac{18}{72}[/tex]∴ [tex]m=\frac{1}{4}[/tex]The slope of the line in simplified form is [tex]\frac{1}{4}[/tex]Learn more:You can learn more about the slope of a line in brainly.com/question/12954015#LearnwithBrainly