### Home > AC > Chapter 13 > Lesson 13.PSF1-S > Problem2-13

2-13.

​​Let $A=\left(-2,5\right)$ and $B=(5,-2)$

1. 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 $AB$.

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

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.