Question

Using the slope formula, find the slope of the line through the points (0,0) and (5,10).

Answer 1

First, we need to find the slope of the line using slope formula*.

`m = (10 - 0)/(5 - 0) = (10)/(5) = 2`

Slope of the line: 2

Second, we determine the y-intercept using the slope we just found, one of the given points, and slope-intercept form**.

`10 = 2(5) + b\\\\10 = 10 + b\\\\0 = b`

Because b = 0, this means that the y-intercept is the origin, (0,0), so it is not written in the equation.

Finally, we create the equation of the line.

`y = 2x`

Slope formula: y₂ - y₁/x₂ - x₁

Slope-intercept form: y = mx + b