Slope Form Review

Identify the slope. (m = rise / run)

Identify the slope. (m = rise / run)

Rewrite this equation in slope intercept form (y = mx. + b):

x + y = -15

• x = -y -15

• y = -x + 15

• y = -x - 15

• y = x - 15

Rewrite this equation in slope intercept form (y = mx. + b):

6x - 2y = 10

• 2y = 6x - 10

• y = -3x - 5

• y = 3x - 5

• y = -3x + 5

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

• 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.

Write the equation of the graph in slope-intercept form.

Identify the form of the following linear equation:

• Standard Form

• Slope - Intercept Form

• Point - Slope Form

Answer explanation

Rewrite the equation in slope-intercept form.

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.

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.