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Write equations of lines in point-slope form.
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. Then/Now
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point-slope form Vocabulary
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Concept 1
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Write and Graph an Equation in Point-Slope Form
Write the point-slope form of an equation for a line that passes through (–2, 0) with slope Point-slope form Example 1
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Graph the equation Plot the point at (–2, 0).
Write and Graph an Equation in Point-Slope Form 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. Answer: Example 1
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Write the point-slope form of an equation for a line that passes through (4, –3) with slope –2.
B C D Example 1
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Concept 2
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Writing an Equation in Standard Form
In standard form, the variables are on the left side of the equation. A, B, and C are all integers. Example 2
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Write y – 3 = 2(x + 4) in standard form.
B C D Example 2
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Writing an Equation in Slope-Intercept Form
Example 3
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Write 3x + 2y = 6 in slope-intercept form.
A B C D Example 3
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A. GEOMETRY The figure shows trapezoid ABCD with bases AB and CD.
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. ___ Example 4
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Step 1 Find the slope of BC.
Point-Slope Form and Standard Form Step 1 Find the slope of BC. Slope formula (x1, y1) = (4, 3) (x2, y2) = (6, –2) Example 4
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Step 2 You can use either point for (x1, y1) in the point-slope form.
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) Example 4
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B. Write an equation in standard form for the same line.
Point-Slope Form and Standard Form B. Write an equation in standard form for the same line. Example 4
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A. The figure shows right triangle ABC
A. The figure shows right triangle ABC. Write the point-slope form of the line containing the hypotenuse AB. A B C D Example 4
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B. The figure shows right triangle ABC
B. The figure shows right triangle ABC. Write the equation in standard form of the line containing the hypotenuse. A B C D Example 4
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