Question

(5, 7), (-3,-4)
Find the slope

Answer 1

Its change in y / change in x so the y value changes by -4-7 so -11 and the x value changes by -3-5 so -8 so the gradient is -11/8

Answer 2

`(11)/(8)`

Explanation:

Slope formula

`\textsf{Slope}=(y_2-y_1)/(x_2-x_1)`

`\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.}`

Define the points:

`\textsf{Let}\:(x_1,y_1)=(5,7)`

`\textsf{Let}\:(x_2,y_2)=(-3,-4)`

Substitute the defined points into the formula:

`\implies \textsf{Slope}=(-4-7)/(-3-5)=(-11)/(-8)=(11)/(8)`

Therefore, the slope of (5, 7) and (-3, -4) is 11/8.