To find the slope of the line we can use the following formula:
[tex]\frac{y.2 - y.1}{x.2 - x.1} = m[/tex]
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
