Writing in slope intercept form

• 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

• 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

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• 
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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.

Answer explanation

-2x + y = 1

To solve for y, we want to get y by itself, which means we need to move the -2x over.

We need the -2x to equal 0 on the left hand side, which means we need to add 2x (-2x + 2x = 0).

But what we do to one side of the equation must happen to the other.

So now we have y = 1 + 2x.

And in the proper form, we have y = 2x + 1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Answer explanation

What are inverse operations?

Adding & subtracting UNDO each other.

Multiplying & dividing UNDO each other.

Squaring & square rooting UNDO each other.

inverse operations allow us to solve equations.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3