91Ó°ÊÓ

For each of the following exercises, find and plot the \(x\) - and \(y\) -intercepts, and graph the straight line based on those two points. $$ y=\frac{x-3}{2} $$

For the following exercises, find the slope of the line that passes through the given points. (-5,4) and (2,4)

For the following exercises, solve for the unknown variable. $$ x^{-2}-x^{-1}-12=0 $$

For the following exercises, graph both straight lines (left-hand side being y1 and right-hand side being \(y 2\) ) on the same axes. Find the point of intersection and solve the inequality by observing where it is true comparing the \(y\) -values of the lines. $$ 4 x+1<\frac{1}{2} x+3 $$

For the following exercises, use a calculator to help answer the questions. Evaluate \((1+i)^{k}\) for \(k=4,8\) and 12 . Predict the value if \(k=16\).

For the following exercises, use a calculator to help answer the questions. Evaluate \((1-i)^{k}\) for \(k=2,6\) and \(10 .\) Predict the value if \(k=14\).

For the following exercises, solve the quadratic equation by using the quadratic formula. If the solutions are not real, state No Real Solution. $$ 4+\frac{1}{x}-\frac{1}{x^{2}}=0 $$

For the following exercises, write the set in interval notation. $$ \\{x \mid-1

For the following exercises, solve for the unknown variable. $$ \sqrt{|x|^{2}}=x $$

For the following exercises, find the slope of the line that passes through the given points. (-1,-2) and (3,4)