Linear Functions Review

What is the formula for finding slope of the line containing  $\left(x_1,\ y_1\right)\ and\ \left(x_2,\ y_2\right)$  ?

• $m=\frac{y_2-y_1}{x_2-x_1}$

• $m=\frac{x_2-x_1}{y_2-y_1}$

• $m=\frac{y_2-y_1}{x_1-x_2}$

• $m=\frac{y_1-y_2}{x_2-x_1}$

Find the slope of the line that contains the given points:

 $\left(2,-3\right)\ and\ \left(5,-1\right)$  

•  $\frac{2}{3}$  

•  $\frac{3}{2}$  

•  $-\frac{2}{3}$  

•  $-\frac{3}{2}$  

Find the slope of the line that contains the given points:

 $\left(3,-9\right)\ and\ \left(3,11\right)$  

•  $0$  

• Undefined

Find the slope of the line that contains the given points:

 $\left(4,12\right)\ and\ \left(-4,12\right)$  

• undefined
  

•  $0$  

Find the equation of a line in Point-Slope Form that has the given properties:

 $m=-\frac{1}{2}\ through\ \left(-5,6\right)$  

•  $y-6=-\frac{1}{2}\left(x+5\right)$  

•  $y+6=-\frac{1}{2}\left(x-5\right)$  

•  $y+5=-\frac{1}{2}\left(x-6\right)$  

Find the equation of the line that contains the following conditions, in SLOPE-INTERCEPT Form:

 $m=3\ through\ \left(2,-5\right)$  

•  $y=3x-11$  

•  $y+5=3\left(x-2\right)$  

•  $y=3x-1$  

•  $y=3x+14$  

Find the equation of the line that contains the following points in SLOPE-INTERCEPT Form:

 $m=\frac{1}{2}\ through\ \left(8,-1\right)$  

•  $y=\frac{1}{2}x-5$  

•  $y+1=\frac{1}{2}\left(x-8\right)$  

•  $y=\frac{1}{2}x-3$  

•  $y=\frac{1}{2}x+4$  

Find the equation of the line that contains the following points in SLOPE-INTERCEPT Form:

 $\left(2,-1\right)\ and\ \left(4,-7\right)$  

•  $y=-3x+7$  

•  $y=-3x+5$  

•  $y=-\frac{1}{3}x-\frac{1}{3}$  

•  $y=3x-7$  

Find the slope of the line.

• -5/4
• 5/4
• -4/5
• 4/5

Identify the slope and y-intercept of:
y = 1/5x + 5

• slope: 1/6   y-intercept:  4 
• slope: 1/5   y-intercept:  5 
• slope: 5/1   y-intercept:  5 
• slope: 1   y-intercept:  5