What is the slope of the line on the graph?
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Answer:
6
Step-by-step explanation:
The find the slope of a line given any two points, we can use the slope formula given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
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:
[tex]\displaystyle m=\frac{(5)-(-1)}{(1)-0}=\frac{6}{1}=6[/tex]
Hence, the slope of the line is 6.
slope is the ratio of vertical increase to horizontal increase