### Home > PCT > Chapter Ch2 > Lesson 2.1.1 > Problem 2-13

2-13.

Let

*A*= (−2, 5) and*B*= (5, −2). Homework Help ✎Find the distance between

*A*and*B*.Write the equation of the line passing through points

*A*and*B*in point-slope form and slope-intercept form.

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*.

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.