Point-Slope Form Worksheet

A Grade 9 math worksheet focused on understanding and applying the point-slope form of linear equations, including writing equations and graphing.

Grade 9 Math AlgebraPoint-slope Form

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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.LE.A.2

Topics

mathalgebrapoint-slope formlinear equationsgraphing

7 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. The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where m represents the and (x₁, y₁) represents a on the line.

2. To use the point-slope form, you need at least one and the of the line.

1. Write the equation of a line in point-slope form that passes through the point (2, 5) with a slope of 3.

2. Write the equation of a line in point-slope form that passes through the points (-1, 4) and (3, -2).

1. In the equation y - 7 = -2(x + 4), what are the coordinates of the point and the slope?

Point: (4, 7), Slope: -2

Point: (-4, 7), Slope: -2

Point: (4, -7), Slope: -2

Point: (-4, -7), Slope: -2

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

2. Graph the line represented by the equation y + 2 = -1/2(x + 4).

1. The point-slope form is most useful when you know the y-intercept and the slope.

True

False

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