91Ó°ÊÓ

For the following exercises, find the equation of the line using the given information. (-1,3) and (4,-5)

For the following exercises, perform the indicated operation and express the result as a simplified complex number. $$ -\sqrt{-4}-4 \sqrt{-25} $$

For the following exercises, solve the equation involving absolute value. $$ -|2 x+1|=-3 $$

For the following exercises, graph the pair of equations on the same axes, and state whether they are parallel, perpendicular, or neither. $$ \begin{array}{l} y=2 x+7 \\ y=-\frac{1}{2} x-4 \end{array} $$

For the following exercises, determine the discriminant, and then state how many solutions there are and the nature of the solutions. Do not solve. $$ 2 x^{2}-3 x-7=0 $$

For the following exercises, solve for the given variable in the formula. After obtaining a new version of the formula, you will use it to solve a question. Solve for \(m\) in the slopeintercept formula: \(y=m x+b\)

For each of the following exercises, construct a table and graph the equation by plotting at least three points. $$ y=-3 x+1 $$

For the following exercises, graph the function. Observe the points of intersection and shade the \(x\) -axis representing the solution set to the inequality. Show your graph and write your final answer in interval notation. $$ |x-2|<7 $$

For each of the following exercises, construct a table and graph the equation by plotting at least three points. $$ 2 y=x+3 $$

For the following exercises, perform the indicated operation and express the result as a simplified complex number. $$ \frac{2+\sqrt{-12}}{2} $$