Question

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

Answer 1

`(4)/(5)`

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=(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=(0-4)/(-10+5)\\ m=(-4)/(-5)\\ m=(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