Question

What is the slope of the line on the graph?



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Answer 1

slope is the ratio of vertical increase to horizontal increase

Answer 2

6

Explanation:

The find the slope of a line given any two points, we can use the slope formula given by:

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

We can choose the two points (0, -1) and (1, 5) from the graph.

Let (0, -1) be (x₁, y₁) and let (1, 5) be (x₂, y₂). So:

`\displaystyle m=((5)-(-1))/((1)-0)=(6)/(1)=6`

Hence, the slope of the line is 6.