Question

Determine the slope between two points. 1. A(-3, 7) and B(-5, 17)

Answer 1

m= -2.

Explanation:

Let's refer to the formula for finding the slope of linear equations:

`m=(y_(2) -y_(1) )/(x_(2) -x_(1) )`

1. Name the variables.

Now we have to identify all the coordinates. You may do this arbitrarily:

`A(-3, 7):x_(1) =-3, y_(1)=7.\\ \\B(-5, 17): x_(2) =-5, y_(2)=17.`

2. Use the equation to find the slope value.

Now we plug the values we just set into the equation in order to get a result:

`m=((17) -(7) )/((-5) -(-3) )\\ \\m=(17 -7 )/(-5+3 )\\ \\m=(10)/(-2) \\ \\m=-5`

Answer 2

We have the following:

With the following formula we calculate the slope

`m=(y_2-y_1)/(x_2-x_1)`

replacing:

`m=(17-7)/(-5-(-3))=(10)/(-5+3)=(10)/(-2)=-5`

Therefore, the slope is 5