Slope-Intercept Form

​Slope-Intercept Form

is the name of the equation​

y=mx+b​

Multiple Choice

What does the m represent in y = mx + b ?

• y-axis

• slope

• y-intercept

• linear

​In this form, called slope-intercept form, the coefficient of x, which is the value in front of x, is called the slope.

​

Slope is the rate of change for a linear function.

Multiple Choice

What does the b represent the y = mx + b ?

• slope

• rate of change

• y-intercept

• biscuits and gravy

​In this form, called slope-intercept form, the constant, which is the value with no variable, represents the y-intercept, which is where the linear function intersects the y-axis.

​

The y-intercept is the ordered pair (0, b).

Multiple Choice

What does the 4 represent in y=4x+3 ?

• slope

• y-intercept

Multiple Choice

What does 10 represent in y=6x+10 ?

• slope

• y-intercept

Multiple Choice

What does the 3 represent in y=4x+3 ?

• slope

• y-intercept

Multiple Choice

What is the slope in the equation below?

y = x + 5

• 1

• 0

• 5

​When the slope is 1 or -1, you will only use the variable x.

​

Example: m=-1 b = 3

​

Equation: y=-x+3​

​Let's practice finding slope and y-intercept

Using the calculator​

Multiple Choice

What is the y - intercept?

• 0

• 5

• - 4

• 4

Multiple Choice

What is the y-intercept shown on the graph?

• (0, -2)
• (3, 0)
• (0, 3)
• None of these.

Multiple Choice

What is the y-intercept of the line graphed below?

• 3
• 4
• -3
• 4/3

Multiple Choice

What is the y-intercept?

• -2
• 2
• -4
• 4

Multiple Choice

Determine the slope. 

• -5
• 5
• -1/5
• 1/5

Multiple Choice

Find the slope:

• $$\frac{3}{4}$$

• $$\frac{4}{3}$$

• $$\frac{1}{4}$$

• $$\frac{3}{1}$$

Multiple Choice

Find the slope of the line that passes through:
(6,7) and (4,2)

• 2/5
• -5/2
• 5/2
• -1/2

​Now we're going to take our slopes and y-intercepts and write them in

slope-intercept form

​

y=mx+b​

Multiple Choice

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 
• slope: 3/2   y-intercept:  (0,3) 
• slope:  4  y-intercept:  (0,3/2)
• slope: 1/5   y-intercept:  (0,5) 

Multiple Choice

What is the equation of a line with a slope of 4 and a y-intercept of 2?

• y = -4x + 2

• y = -2x + 4

• y = 4x + 2

• y = 2x + 4

Multiple Choice

What is the graph's equation?

• y = 4/3x - 1

• y = -4/3x - 1

• y = 3/4x + 1

• y = - 3/4x - 1

Multiple Choice

What is the equation by looking at this graph?

• y= x + 3

• y= -x + 2

• y= 2x + 2

• y= x + 2

Multiple Choice

• y=7x+4

• y=7x+7

• y=4x+7

• y=4x+4