Answer:
[tex]\frac{4}{5}[/tex]
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.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Now we will plug in the x and y values given above, (-5, 4) and (-10, 0).
[tex]m=\frac{0-4}{-10+5}\\ m=\frac{-4}{-5}\\ m=\frac{4}{5}[/tex]
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
