CONVERT STANDARD FORM TO SLOPE INTERCEP FORM WORKSHEET

Convert the following equations from standard to slope-intercept form.

Problem 1:

Standard form: 10x - 7y = -8

Slope-intercept form: ______

Solution

Problem 2:

Standard form: 8x + y = 9

Slope-intercept form: ______

Solution

Problem 3:

Standard form: x + 6y = -2

Slope-intercept form: ______

Solution

Problem 4:

Standard form: 4x + 3y = 9

Slope-intercept form: ______

Solution

Problem 5:

Standard form: 3x + 12y = -8

Slope-intercept form: ______

Solution

Problem 6:

Standard form: x + 2y = -8

Slope-intercept form: ______

Solution

Problem 7:

Standard form: 11x - 8y = 3

Slope-intercept form: ______

Solution

Problem 8 :

Standard form: 4x + 5y = 4

Slope-intercept form: ______

Solution

Problem 9 :

Standard form: 10x - 12y = -4

Slope-intercept form: ______

Solution

Problem 10 :

Standard form: 3x - y = 9

Slope-intercept form: ______

Solution

Answer Key

1)  y = 10/7x + 8/7

2)  y = -8x + 9

3)  y = -1/6x - 1/3

4)  y = -4/3x + 3

5)  y = -1/4x - 2/3

6)  y = -1/2x - 4

7)  y = 11/8x - 3/8

8)  y = -4/5x + 4/5

9)  y = 5/6x + 1/3

10)  y = 3x - 9

Convert from the given standard form of a linear equation to the slope-intercept form of a linear equation.

Problem 1 :

x + 5y = 5

Solution

Problem 2 :

3x + 2y = 4

Solution

Problem 3 :

2x + y = 4

Solution

Problem 4 :

4x – 2y = 6

Solution

Problem 5 :

8x – 4y = 16

Solution

Problem 6 :

3x + 4y = 4

Solution

Problem 7 :

9x – 4y = -16

Solution

Problem 8 :

2x – 5y = 10

Solution

Problem 9 :

3x + 5y = -25

Solution

Problem 10 :

7x – y = 4

Solution

Answer Key

1) slope = -1/5 and y-intercept = 1.

2)  Slope = -3/2 and y-intercept = 2.

3)  Slope = -2 and y-intercept = 4.

4)  Slope = 2 and y-intercept = -3.

5)  Slope = 2 and y-intercept = -3.

6)  Slope = -3/4 and y-intercept = 1

7)  Slope = 9/4 and y-intercept = 4.

8)  Slope = 2/5 and y-intercept = -2

9)  Slope = -3/5 and y-intercept = -5

10)  Slope = 7 and y-intercept = -4.

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