Question

The slope of the line is?I came up with 2 over 8 2/8. Do you reduce? Would it be 1 over 4?

Answer 1

The slope m of a line can be found by dividing the difference between two y-values by the difference between the respective x-values:

$m=\frac{y_2-y_1_{}}{x_2-x_1}$

We can use, for example, the first two points of the table. So we have:

x₁ = 1

x₂ = 3

y₁ = 2

y₂ = 10

Now, using those values in the above formula, we obtain:

$m=\frac{10-2}{3-1}=\frac{8}{2}=4$

Therefore, the slope of the line is 4.