### Home > AC > Chapter 13 > Lesson 13.PSF1-S > Problem 2-13

2-13.

Let *A* = (−2, 5) and *B* = (5, −2).

Find the distance between

*A*and*B*.Plot the points and connect them. Then create a right triangle with segment

*AB*as the hypotenuse.

Use the Pythagorean Theorem to calculate the length of segment*AB*.Write the equation of the line passing through points

*A*and*B*in point-slope form and slope-intercept form.1. Determine the slope: rise/run.

2. Substitute a given point and the slope into the point-slope formula.

3. Solve for*y*for the slope-intercept form.