Unit 3 - Standard form to Slope-intercept form

Unit 3 - Standard form to Slope-intercept form

Multiple Choice

what is the slope given the following two points (2,-4) and (1, 5)?

• 9

• -5

• 5

• -9

Standard form of a linear equation.

How can we write the slope-intercept form of a linear equation given standard form?

Fill in the Blank

Given the equation 4x + 2y = 12, How can we isolate the variable y? (This will lead us to writing the equation in slope-intercept form.)

How can we write the slope-intercept form of a linear equation given standard form?

4x + 2y = 12

• Subtract 4x from each side, 4x - 4x = 0, thus 2y = -4x + 12

• Divide by 2 on each side, 2y/2 = y

• y = -4x/2 + 12/2

• y = -2x + 6

• Check Graphically!

• https://www.desmos.com/calculator

Multiple Choice

what is the slope intercept form for the equation -2x + 8y = 2

• y = -2x + 8

• y = 1/4x + 1/4

• y = -1/4x - 1/4x

• y = 2/8x + 4

-2x + 8y = 2 in slope-intercept form is:

• Add 2x to each side.

• 8y = 2x + 2

• Divide by 8 on each side. 8y/8 = y

• y = 2x/8 + 2/8

• y = 1x/4 + 1/4

• Or ... y = x/4 + (1/4)

• Check Graphically

Multiple Choice

What is the slope of the following 12x - 6y = 30

• 2

• -2

• 12

• -12

What is the slope of the following 12x - 6y = 30?

• Convert to slope-intercept form.

• Add 6y to each side.

• 12x = 6y + 30, subtract 30 from both sides.

• 12x - 30 = 6y, divide by 6 on each side.

• 12x/6 - 30/6 = 6y/6

• 2x - 5 = y OR. y = 2x - 5

• slope = 2

Multiple Choice

Change the following to slope-intercept form:
5x - 5y = 25

• y = x - 5
• y = 5x - 1
• y = -x + 5
• y = 5x + 1