Question

What is the slope of a line that contains the point(-5,4) and has a x intercept of -10?

Answer 1

Answer:

$\frac{4}{5}$

Step-by-step explanation:

Based on the information given we can say the two points are (-5, 4) and (-10, 0).  An x-intercept is where the line crosses the x-axis giving us a y value of 0.

So, we will use the following formula, where m is equal to the slope.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Now we will plug in the x and y values given above, (-5, 4) and (-10, 0).

$m=\frac{0-4}{-10+5}\\ m=\frac{-4}{-5}\\ m=\frac{4}{5}$

Note: In the denominator of the first line, the -5 was changed to a 5 because in the original equation, we are told to subtract.  When you have two negatives they cancel each other out.

Hope this helps! <3