Slope-Intercept Form Review

• slope
• y-intercept
• linear
• x-intercept

Answer explanation

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. It's the rise over run, or the change of y-values over the change of x-values.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

• x-intercept

• y-intercept

• linear

• slope

Answer explanation

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).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

• 2
• 3
• 5
• 2x 

Answer explanation

Slope is x's coefficient, which means we take only the value in front of x to be the slope.

Tags

CCSS.8.EE.B.5

Answer explanation

The y-intercept is the constant when the linear function is in slope-intercept form.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Find the slope of the line.

• 1/2
• -1/2
• 2
• -2

Answer explanation

Slope is the rate of change.

Here we can first start at the origin, and then make our way to another point. To get to the other bolded point, we go up 1 and right 2.

up 1 is the rise

------------------------

right 2 is the run

+ 1

------

+2

Tags

CCSS.8.EE.B.5

Find the slope of the line.

• -5/4
• 5/4
• -4/5
• 4/5

Answer explanation

Slope is the rate of change.

Let's go from one point to the other to find the change.

By going down 5 and then right 4, we end up with -5/4.

Because the line is decreasing, we have a negative slope.

Reminder: -5/4 = 5/-4

Tags

CCSS.8.EE.B.5

Find the slope

• -5/3
• -3/5
• 5/3
• 3/5

Tags

CCSS.8.EE.B.5

• 
• 
• 
• 

Answer explanation

To graph a line, start with the y-intercept and then use the slope to create the line.

Here the y-intercept is (0, 4). And the slope is -2/3, which takes us down 2 then right 3 (or up 2 then left 3). We can check to see if we used slope correctly depending on how the line reads. Since the slope is negative, our line should be decreasing.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.C.7

• Standard Form

• Slope - Intercept Form

• Point - Slope Form

Answer explanation

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3