Summary 281 Section 3.4 Slope-Intercept Form of a Linear Equation Key Concepts The point-slope formula is used primarily to construct an equation of a line given a point and the slope. Equations of Lines—A Summary: Standard form: Ax By C Horizontal line: y k Vertical line: x k Slope-intercept form: y mx b Point-slope formula: y y1 m1x x12 2y 7x 4 5 4 3 2 1 2 1 y right 2 Examples Example 1 Find an equation of the line passing through the point and having a slope of . Label the given information: m 1x1, y12 12 and (6, 4) y y1 m1x x12 y 12 x 1 y 4 12 x 3 y 142 12 1x 62 12 16, 42 Key Concepts The slope-intercept form of a linear equation is where m is the slope of the line and (0, b) is the y-intercept. Slope-intercept form is used to identify the slope and y-intercept of a line when the equation is given. Slope-intercept form can also be used to graph a line. y mx b Examples Example 1 Find the slope and y-intercept. Solve for y. The slope is . The y-intercept is Example 2 Graph the line. y 7 2 x 2 10, 22. 72 y 7 2 x 2 2y 2 7x 2 4 2 7x 2y 4 5 43 1 2 3 4 5 1 2 3 4 5 up 7 Start here x Section 3.5 Point-Slope Formula
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