### Home > INT2 > Chapter 8 > Lesson 8.1.1 > Problem 8-10

8-10.

On graph paper, plot the points

*A*(–3, –1) and*B*(6, 11).*8-10 HW eTool*(Desmos). Homework Help ✎What is the midpoint

*M*of*AB*?Determine the coordinates of point

*P*, on*AB*, that isof the way from *A*to*B*.What is the equation of the line that passes through points

*A*and*B*?Calculate the distance between points

*M*and*P*.

Use the eTool below to visualize the problem.

What is the *y*-intercept? What is the slope?

Use a slope triangle drawn between *M* and *P*, and the Pythagorean Theorem to calculate the distance.

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Click the link at right for the full version of the eTool: *INT2 8-10 HW eTool*.