Chapter 7

Graph the linear equations and inequalities. $$ 2 x-6=\frac{2}{5} $$

Graph the equations. $$ -2 x+3 y=-6 $$

For the following problems, find the equation of the line using the information provided. Write the equation in slope-intercept form. slope \(=\frac{2}{3}, \quad\) passes through (-1,2)

For the following problems, write the equation of the line using the given information in slope-intercept form. $$ m=8, y \text { -intercept }(0,1) $$

Solve the inequalities by graphing. $$ -2 x+4 y>0 $$

Graph the equations. $$ y=x $$

The slope, \(\mathrm{m}\), of a line is defined as the steepness of the line, and it is the number of units that \(y\) changes when \(x\) changes 1 unit.

For the following problems, graph the equations. $$ 4 y-x-12=0 $$

Graph the linear equations and inequalities. $$ x+7 \leq 12 $$

Graph the equations. $$ 2 y+x-8=0 $$

For the following problems, find the equation of the line using the information provided. Write the equation in slope-intercept form. slope \(=7, \quad\) passesthrough (0,0) .

For the following problems, write the equation of the line using the given information in slope-intercept form. $$ m=5, y \text { -intercept }(0,-3) $$

Graph the inequality \(-3 x+5 \geq-1\).

Graph the equations. $$ y=-x $$

The formula for finding the slope of a line through any two given points \(\left(x_{1}, y_{1}\right)\) and \(\left(x_{2}, y_{2}\right)\) is \(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

For the following problems, graph the equations. $$ 2 x-y+4=0 $$

Graph the linear equations and inequalities. $$ y-5<3 $$

For the following problems, find the equation of the line using the information provided. Write the equation in slope-intercept form. passes through the points (5,2) and (2,1) .

For the following problems, write the equation of the line using the given information in slope-intercept form. $$ m=-6, y \text { -intercept }(0,-1) $$

Supply the missing word. The geometric representation (picture) of the solutions to an equation is called the ___________ of the equation.

Graph the equations. $$ 3 y-2 x=-3 $$

The fraction \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) represents the \(\frac{\text { Change in } y}{\text { Change in } x}\).

For the following problems, graph the equations. $$ -2 x+5 y=0 $$

Graph the linear equations and inequalities. $$ x+19>2 $$

Graph the equations. $$ 3 y-4 x+12=0 $$

For the following problems, write the equation of the line using the given information in slope-intercept form. $$ m=-4, y \text { -intercept }(0,0) $$

As we look at a graph from left to right, lines with positive slope rise and lines with negative slope decline.

For the following problems, graph the equations. $$ y-5 x+4=0 $$

Graph the linear equations and inequalities. $$ z+5>11 $$

Graph the equations. $$ y=-3 $$

For the following problems, write the equation of the line using the given information in slope-intercept form. $$ m=-\frac{3}{2}, y \text { -intercept }(0,0) $$

Graph the equation \(y=-3 x+2\).

Graph the equations. $$ x+y=0 $$

Parallel lines have the same slope.

For the following problems, graph the equations. $$ 0 x+y=3 $$

Graph the linear equations and inequalities. $$ 3 m-7 \leq 8 $$

Graph the equations. $$ y-2=0 $$

For the following problems, write the equation of the line using the given information in slope-intercept form. $$ m=3,(1,4) $$

Write the equation of the line that has slope 4 and passes through the point (-1,2) .

Solve the inequality \(2-4 x \geq x-3\).

Horizontal lines have 0 slope.

For the following problems, graph the equations. $$ 0 x+2 y=2 $$

Graph the linear equations and inequalities. $$ -5 t \geq 10 $$

Graph the equations. $$ x=4 $$

For the following problems, write the equation of the line using the given information in slope-intercept form. $$ m=1,(3,8) $$

Graph the inequality \(y+3>1\).

Vertical lines have undefined slope (or no slope).

For the following problems, graph the equations. $$ 0 x+\frac{1}{4} y=1 $$

Graph the equations. $$ x+1=0 $$

For the following problems, write the equation of the line using the given information in slope-intercept form. $$ m=2,(1,4) $$