Changing from Standard to Slope Intercept Form

4.5a

Changing from standard form to slope-intercept form.

Change standard form first by adding/subtracting the "x" term.

4x + 2y = 14

-4x

2y = -4x + 14

Then Divide by the coefficient of the "y" value.

2y = -4x + 14

divide by 2

y = -2x + 7

Now the equation is in slope-intercept form

y = -2x + 7

Where the slope is -2

and the y-intercept is (0, 7)

Multiple Choice

Which equation is in standard form?

• y = -2x + 7

• 2y = -4x + 14

• 4x + 2y = 14

• y-intercept is (0, 7)

Multiple Choice

What is the slope of the equation: y = -3x - 5?

• m = -3

• m = -5

• No slope given

• m = 0

Multiple Choice

What is the y-intercept of the equation: y = -3x - 5?

• (0, -3)

• (0, -5)

• (0, 0)

• Undefined

Multiple Choice

Convert the following equation from standard form to slope-intercept form: 4x + 2y = 14

• y = 4x + 14

• y = -2x + 14

• y = -2x - 14

• y = -2x + 7

Multiple Choice

Convert the following equation from standard form to slope-intercept form: -9x +3y = -12

• y = -3x - 4

• y = -3x + 4

• y = 3x + 4

• y = 3x - 4

Multiple Choice

Convert the following equation from standard form to slope-intercept form: 2x - 2y = 6

• y = 2x - 6

• y = x - 3

• y = x + 3

• y = 2x + 6

Multiple Choice

Convert the following equation from standard form to slope-intercept form: 6x - 2y = 10

• y = 3x - 5

• y = 3x + 5

• y = -3x + 5

• y = -3x - 5