91Ó°ÊÓ

Plot the points \(A=(-1,8)\) and \(M=(2,3)\) in the \(x y\) -plane. If \(M\) is the midpoint of a line segment \(A B,\) find the coordinates of \(B\).

Rationalize the denominator of \(\frac{3}{\sqrt{7}-2}\)

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer. Slope \(=2\); containing the point (4,-3)

The midpoint of the line segment from \(P_{1}\) to \(P_{2}\) is (-1,4) If \(P_{1}=(-3,6),\) what is \(P_{2} ?\)

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer. Slope \(=\frac{1}{2} ;\) containing the point (3,1)

Evaluate \(\frac{c^{2}-b^{2}}{a c-2 b(c-a)}\) for \(a=3, b=2,\) and \(c=5\)

Solve each equation. \(6 x-2(x-4)=24\)

The High Roller observation wheel in Las Vegas has a maximum height of 550 feet and a diameter of 520 feet, with one full rotation taking approximately 30 minutes. Find an equation for the wheel if the center of the wheel is on the \(y\) -axis.

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer. Slope \(=-\frac{2}{3} ;\) containing the point (1,-1)

The midpoint of the line segment from \(P_{1}\) to \(P_{2}\) is (5,-4) . If \(P_{2}=(7,-2),\) what is \(P_{1} ?\)