Point-Slope Form Practice

A Grade 11 math worksheet focusing on understanding and applying the point-slope form of linear equations.

Grade 11 Math AlgebraPoint-slope Form

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Includes

Fill in the Blanks3 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GPE.B.5

Topics

AlgebraPoint-slope FormLinear EquationsGrade 11

8 sections · Free to use · Printable

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. In the equation y - 2 = 3(x + 1), the slope (m) is and the point (x₁, y₁) is .

2. For the equation y + 5 = -1/2(x - 4), the slope (m) is and the point (x₁, y₁) is .

3. Write the equation of a line in point-slope form that passes through the point (3, -2) with a slope of 4.

4. A line passes through the points (1, 5) and (4, 11). Write its equation in point-slope form.

5. Which of the following equations represents a line with a slope of -2 and passing through the point (0, 7)?

y - 7 = -2(x - 0)

y + 7 = -2(x + 0)

y - 0 = -2(x - 7)

y = -2x + 7

6. The point-slope form is derived from the slope formula.

True

False

7. Graph the line represented by the equation y - 1 = 2(x + 3).

8. A line passes through the point (-2, 6) and is perpendicular to the line y = 3x - 4. Write the equation of this line in point-slope form.

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