Question

A line has a slope of -10 and include the points (-6,6) and (-5,r). what is the value of r

Answer 1

Hi there!

We're asked to find the value of r.

To do this, we'll substitute all the data we have into the slope formula

`\bf{m=\cfrac{y_2-y_1}{x_2-x_1}}`

`\sf{-10=\cfrac{r-6}{-5-(-6)}}`

`\sf{-10=\cfrac{r-6}{-5+6}}`

`\sf{-10=\cfrac{r-6}{1}}`

`\sf{-10=r-6}`

`\sf{-10+6=r}`

`\sf{-4=r}`

Therefore, the value of r is -4.

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Best wishes!