Writing Equations in Point-Slope Form LESSON 4–3 Writing Equations in Point-Slope Form

Write an equation of the line that passes through the given point and has the given slope. (5, –7), m = 3 5-Minute Check 1

Write an equation of the line that passes through the given point and has the given slope. (1, 5), 5-Minute Check 2

Which equation is the line that passes through the points (6, –3) and (12, –3)? 5-Minute Check 3

Which equation is the line that passes through the points (9, –4) and (3, –6)? 5-Minute Check 4

Identify the equation for the line that has an x-intercept of –2 and a y-intercept of 4. A. y = –2x + 4 B. y = 2x + 4 C. y = 2x – 4 D. y = 4x – 2 5-Minute Check 5

Which is an equation of the graph shown? B. C. y = –2x + 3 D. y = 2x + 3 5-Minute Check 5

Mathematical Processes A.1(B), A.1(F) Targeted TEKS A.2(B) Write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y1 =m(x - x1), given one point and the slope and given two points. A.2(C) Write linear equations in two variables given a table of values, a graph, and a verbal description. Also addresses A.3(A). Mathematical Processes A.1(B), A.1(F) TEKS

point-slope form Vocabulary

Concept 1

Write and Graph an Equation in Point-Slope Form Write an equation in point-slope form for the line that passes through (–2, 0) with slope Example 1

Graph the equation Write and Graph an Equation in Point-Slope Form Example 1

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

Concept 2

Find an Equation of a Line   Example 2

Find an Equation of a Line   Example 2

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

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

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. 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. Example 4

Writing Equations in Point-Slope Form LESSON 4–3 Writing Equations in Point-Slope Form