Write equations of lines in point-slope form.

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Presentation transcript:

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

point-slope form Vocabulary

Concept 1

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

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

Write the point-slope form of an equation for a line that passes through (4, –3) with slope –2. B C D Example 1

Concept 2

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

Write y – 3 = 2(x + 4) in standard form. B C D Example 2

Writing an Equation in Slope-Intercept Form Example 3

Write 3x + 2y = 6 in slope-intercept form. A B C D Example 3

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

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

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

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

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

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