236 Chapter 3 Graphing Linear Equations in Two Variables b. The equation represents a vertical line because the equation is in the form The equation can be simplified to which represents a horizontal line. In this example, we do not need to analyze the slopes because vertical lines and horizontal lines are perpendicular. Skill Practice For each pair of lines, determine if they are parallel, perpendicular, or neither. 10. x 5y 10 11. y 5 5x 1 y x 6 4. Writing an Equation of a Line Using Slope-Intercept Form The slope-intercept form of a linear equation can be used to write an equation of a line when the slope is known and the y-intercept is known. Writing an Equation of a Line Using Slope-Intercept Form Write an equation of the line whose slope is and whose y-intercept is (0, 8). Solution: The slope is given as , and the y-intercept (0, b) is given as (0, 8). Substitute the values into the slope-intercept form of a line. y mx b m 23 Skill Practice 12. Write an equation of the line whose slope is and y-intercept is Writing an Equation of a Line Using Slope-Intercept Form Example 8 Write an equation of the line having a slope of 2 and passing through the point Solution: To find an equation of a line using slope-intercept form, it is necessary to find the value of mand b.The slope is given in the problem as Therefore, the slopeintercept form becomes y mx b y 2x b m 2. 13, 12. 4 10, 102. y 2 3 x 8 m 23 and b 8 23 Example 7 2y 8 y 4, x k. x 2 Answers 10. Perpendicular 11. Perpendicular 12. y 4x 10
miller_beginning_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above