Slope Intercept Form

Slope Intercept Form

"Slope intercept form" of a line is a convenient way to identify the slope and y - intercept (the point where the line and y axis intersect)

We identify the "m" term to be our slope or rise over run, while the "b" term represents the intersection of the line with the y axis

Multiple Choice

Which equation is slope intercept form?

• y = mx + b

• $$\frac{y_2-y_1}{x_2-x_1}$$  

• ax + by = c

• $$A\ =\ \pi r^2$$  

Multiple Choice

Which equation is in slope intercept form?

• y - 3 = x + 3

• y = 3x - 1

• y = 3x -6 y

• $$y\ =\ \frac{4}{x}$$  

Multiple Choice

Which equation is in slope intercept form?

• $$y\ =\ y$$  

• $$y\ +\ x\ =\ 12$$  

• $$y\ =\ \frac{1}{2}x$$  

• $$y\ =\ x^2$$  

The Slope is always the coefficient (Next to) of the x.

The y-intercept is the constant we add or subtract. (No variable)​

Multiple Choice

What is the slope of the equation?

$$y\ =\ 3x\ -\ 2$$  

• x

• 3

• -2

• 1

Multiple Choice

What is the slope of the equation?

$$y\ =\ \frac{1}{2}x\ +\ 8$$  

• x

• 8

• y

• $$\frac{1}{2}$$  

Multiple Choice

What is the y - intercept of the equation?

$$y\ =\ \frac{1}{4}x\ +\ 2$$  

• y

• 2

• $$\frac{1}{4}$$  

• $$x$$  

Multiple Choice

What is the y - intercept of the equation?

$$y\ =\ -5x$$  

• x

• -5

• 0 

• There is none 

Multiple Choice

If the slope = 2 and the y-intercept = -1, which equation matches that? 

• y = -x + 2

• y = 2x - 1

• y = 1x

• 2x - 1y = 0

​When finding the equation of a graph, you need to find both the slope and y-intercept.

​

• Slope : ​rise/run

  ​

• y-intercept: Find where it crosses the y-axis.​

Multiple Choice

What is the y-intercept?

• 3

• 0

• 1

• -2

Multiple Choice

What is the slope?

• 4

• 2/3

• -3

• 2/1

Multiple Choice

What is the equation of the graph?

• y = 2x - 2

• y = 4x

• y = 4x + 3

• y = 3x + 4

Multiple Choice

What is the y-intercept?

• 1

• 0

• 5

• -1

Multiple Choice

What is the slope?

• -2

• -2/3

• 1/2

• 1/1

Multiple Choice

What is the equation of the graph?

• y = 2x - 1

• y = 1/2x

• y = x + 2

• y = 1/2

​If the equation is not in slope intercept form (y = mx + b),

you can convert it into it by solving for y. (Isolate y variable)​

​y - 3 = x + 5

• To isolate y, remove the -3.

• Add 3 to both sides

• y = x + 8​

Multiple Choice

Convert this equation into Slope Intercept Form.

y + 4 = 2x - 1

• y = 2x - 5

• y = 2x + 3

• 3x + 4y = -1

• y = 6x - 1

Multiple Choice

Convert this equation into Slope Intercept Form.

y - 1 = 4x - 7

• y - 4x = -6

• y = 3x

• y = 4x - 6

• y = 4x - 8