Question

What is the slope of the line on the graph?

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Answer 1

Slope, m = 6

Explanation:

We find the equation of the line.

Let the equation of the line be y = ax + b

We substitute the points on the line to determine the equation the line.

The points are: (0, -1) and (1, 5).

`$ \implies -1 = a(0) + b $`

`$ \implies b = -1 $`

`$ \implies y = ax - 1 $`

Now, we substitute (1, 5).

`$ \impllies 5 = a(1) - 1 $`

`$ \implies a = 6 $`

Therefore, the equation of the line becomes y = 6x + 1.

This is comparable to the general equation of the line: y = mx + c, where m is the slope of the line.

Comparing the equations, we see that the slope of the line is m = 6.