Exercise 11 Page 175

Using the given points, $(1,\text{-}3)$ and $(3,1),$ we will write an equation in slope-intercept form. However, we cannot determine the $y\text{-}$intercept of the equation from the given points. Therefore, we will follow three steps.

1. First, we will find the slope of the equation by using the Slope Formula.
2. Next, we will write the equation in point-slope form.
3. Finally, we will rearrange the equation to write it in slope-intercept form.

Finding the Slope

We know that the line passes through the points $(1,\text{-}3)$ and $(3,1).$ Let's substitute these points into the Slope Formula and find the slope.