Slope Intercept Form

Slope Intercept Form

 $y=mx+b$  

• m is the slope.

• b is the y-intercept.

Multiple Choice

Identify the slope of the equation

 $y=\frac{1}{2}x-4$  

• -4

• 2

• 1/2

• 4

Multiple Choice

Identify the y-intercept of the equation

 $y=\frac{1}{2}x-4$  

• -4

• 2

• 1/2

• 4

Fill in the Blank

What is the y - intercept of the graph?

Fill in the Blank

What is the slope of the graph?

Multiple Choice

What is the equation for the graph?

• $y=1x-\frac{1}{3}$

• $$y=-\frac{1}{3}x+1

Poll

Which is the correct equation for a line with a slope of -2/3 and a y intercept of -5

•  $y=-\frac{2}{3}x-5$  

•  $y=\frac{-2}{3}x-5$  

•  $y=\frac{-2x}{3}-5$  

•  $y=\frac{2}{-3}x-5$  

How do we change an equation to slope intercept form?

• SOLVE FOR Y

• Use inverse operations to get y by itself.

 $2y=-4x+6$  

• Divide everything by 2 to get y alone

•  $\frac{2y}{2}=\frac{-4x}{2}+\frac{6}{2}$  
  

•  $y=-2x+3$  

 $-3y=5x+6$  

• Divide everything by -3 to get y alon

•  $\frac{-3y}{-3}=\frac{5x}{-3}+\frac{6}{-3}$  

•  $y=\frac{-5}{3}x-2$  

Fill in the Blank

Solve this equation for y (no spaces)

-1y=3x-2

Fill in the Blank

Solve this equation for y (no spaces)

5y=-7x

Fill in the Blank

Solve this equation for y (no spaces)

2y=x-4

 $2y+4=4x-2$  

• FIRST subtract 4 

• Then divide EVERYTHING by 2

•  $2y=4x-6$  

•  $y=2x-3$  

Multiple Choice

Put in slope intercept form

 $-3+2y=3x-1$  

•  $y=\frac{3}{2}x-2$  

•  $y=\frac{3}{2}x+1$  

•  $y=3x-2$  

Multiple Choice

Put in slope intercept form

 $5-y=-\frac{1}{2}x+7$  

•  $y=\frac{1}{2}x-2$  

•  $y=-\frac{1}{2}x+2$  

•  $y=-\frac{1}{2}x-2$  

Multiple Choice

Put in slope intercept form

 $-3+2y=3x-1$  

•  $y=\frac{3}{2}x-2$  

•  $y=\frac{3}{2}x+1$  

•  $y=3x-2$