Graphs

For the line $2x+3y=6$, the $x-$intercept is _____ and the $y-$intercept is _______.

A horizontal line is given by an equation of the form _______, where b is the ______.

True or False Vertical lines have an undefined slope.

True or False The slope of the line $2y=3x+5$ is $3.$

True or false  The point $\left(1,2\right)$ is on the line $2x+y=4$.

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 ______.

The lines $y=2x+3$ and $y=ax+5$ are parallel if $a=$_____.

The lines $y=2x-1$ and $y=ax+2$ are perpendicular if $a=$____.

In problems $11-14, \left(a\right)$ find the slope of the line and $\left(b\right)$ intercept the slope. 

In problems $11-14, \left(a\right)$ find the slope of the line and $\left(b\right)$intercept the slope. 

In problems $11-14, \left(a\right)$ find the slope of the line and $\left(b\right)$intercept the slope. 

In problems $11-14, \left(a\right)$ find the slope of the line and $\left(b\right)$intercept the slope.

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

$(2,3);(4,0)$

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand. 

$(4,2);(3,4)$

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand. 

$(-2,3);(2,1)$

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand. 

 $(-1,1);(2,3)$

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.  

$(-3,-1);(2,-1)$

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.  

 $(4,2);(-5,2)$

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.   

$(-1,2);(-1,-2)$

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand. 

$(2,0);(2,2)$

Graph the line containing the point P and having slope m.

$P(1,2),m=3$

Graph the line containing the point P and having slope m. 

$P(2,1), m=4$

Graph the line containing the point P and having slope m. 

$P(2,4), m=-\frac{3}{4}$

Graph the line containing the point P and having slope m.  

$P(1,3),m=-\frac{2}{5}$

Graph the line containing the point P and having slope m.  

$P(-1,3),m=0$

Graph the line containing the point P and having slope m.  

$P(2,-4),m=0$

Graph the line containing the point P and having slope m.  

$P(0,3),m=undefined$

Graph the line containing the point P and having slope m.  

$P(-2,0), m=undefined$

The slope and a point on a line are given. Use this information to locate three additional points on the line. Answers

may vary.

Slope 4, Point $(1,2)$

The slope and a point on a line are given. Use this information to locate three additional points on the line. Answers may vary.

Slope 2, Point $(-2,3)$

The slope and a point on a line are given. Use this information to locate three additional points on the line. Answers may vary.

Slope $-\frac{3}{2}$, Point $(2,-4)$

The slope and a point on a line are given. Use this information to locate three additional points on the line. Answers may vary.

Slope $\frac{4}{3}$, Point $(-3,2)$

The slope and a point on a line are given. Use this information to locate three additional points on the line. Answers may vary.

Slope $-2$, Point $(-2,-3)$

The slope and a point on a line are given. Use this information to locate three additional points on the line. Answers may vary.

Slope $-1$, Point $(4,1)$

Find an equation of the line L.

Find an equation of the line L. 

Find an equation of the line L.  

Find an equation of the line L.  

Find an equation of the line L.  

Find an equation of the line L.  

Find an equation of the line L.  

Find an equation of the line L. 

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 3, containing the point $(-2,3)$

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 $(4,-3)$

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 $(1,-1)$

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 $(3,1)$

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.  

Containing the points $(1,3) and (-1,2)$

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.   

Containing the points $(-3,4) and (2,5)$

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 $-3$, y-intercept is 3

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 is $-2$, y-intercept $-2$