Question

Given (1, -3) and (5, 1). The slope of the line is The equation of the line is

Answer 1

To find the slope of the line we can use the following formula:

$\frac{y.2 - y.1}{x.2 - x.1} = m$

1 - (-3)/5 - 1

4 / 4

1

The slope of the line is equal to 1.

To find the equation, we can just use slope-intercept form.

We already know the slope, so our current equation is y = x

By knowing the slope, we can apply the slope to our lowest pair of coordinates to find the y value when x = 0.

Subtract 1 from the x and y values of (1, -3)

(0, -4) is our new point, and so we know the y-intercept is -4.

Our equation for the line is y = x - 4