91Ó°ÊÓ

$x^3-8x+1=0$

Determine the intercepts and graph each equation by hand by plotting points. Verify your results using a graphing utility. Label the intercepts on the graph.

$2x-3y=6$.

Use $P_1=\left(-1,3\right)$and $P_2=\left(5,-1\right)$.

(a) Find the slope of the line containing$P_1$and$P_2$.

(b) Interpret this slope.

Find the center and radius of the circle. Write the standard form of the equation.

If the graph of an equation is symmetric with respect to the origin and (3, -4) is a point on the graph, then ________ is also a point on the graph.

Two nonvertical lines have slopes $m_1$and $m_2,$respectively. The lines are parallel if ______ and the ______ are unequal; the lines are perpendicular if ______.

If $(x,y)$are the coordinates of a point P in the xy-plane, then x is called the ________ of P and y is the ________ of P.

In Problems 5–16, use a graphing utility to approximate the real solutions, if any, of each equation rounded to two decimal places. All solutions lie between - 10 and 1$-2x^4+5=3x-2$

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.

Perpendicular to the line $y=8$

Containing the point$(3,4)$

The graph of an equation is given. List the intercepts of the graph.