You wrote linear equations given either one point and the slope or two points. (Lesson 4–2)

• Write equations of lines in point-slope form.

• Write linear equations in different forms.

• point-slope form

Write and Graph an Equation in Point-Slope Form

Point-slope form

Write the point-slope form of an equation for a line

that passes through (–2, 0) with slope

Write and Graph an Equation in Point-Slope Form

Answer:

Graph the equation

Plot the point at (–2, 0).

Use the slope to find another point on the line. Draw a line through the two points.

A. A

B. B

C. C

D. D A B C D

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

In standard form, the variables are on the left side of the equation. A, B, and C are all integers.

Writing an Equation in Standard Form

A. A

B. B

C. C

D. D A B C D

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Write y – 3 = 2(x + 4) in standard form.

Writing an Equation in Slope-Intercept Form

A. A

B. B

C. C

D. D A B C D

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Write 3x + 2y = 6 in slope-intercept form.

Point-Slope Form and Standard Form

A. GEOMETRY The figure shows trapezoid ABCD with bases AB and CD.

Write an equation in point-slope form for the line containing the side BC.

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Point-Slope Form and Standard Form

Step 1 Find the slope of BC.

Slope formula

(x1, y1) = (4, 3)

(x2, y2) = (6, –2)

Point-Slope Form and Standard Form

Step 2 You can use either point for (x1, y1) in the point-slope form.

Using (4, 3) Using (6, –2)

y – y1 = m(x – x1) y – y1 = m(x – x1)

Point-Slope Form and Standard Form

B. Write an equation in standard form for the same line.

A. A

B. B

C. C

D. D A B C D

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A. The figure shows right triangle ABC. Write the point-slope form of the line containing the hypotenuse AB.

A. A

B. B

C. C

D. D A B C D

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B. The figure shows right triangle ABC. Write the equation in standard form of the line containing the hypotenuse.