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For Exercises 63–68, find the slopes of the lines
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- In Exercises 13–14, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. 13. Passing through (2,4) and (4, -2) 14. Passing through (-1,0) and parallel to the line whose equation is 3x + y = 6arrow_forwardIn Exercises 5–20, find the equation of each of the lines with the given properties. Sketch the graph of each line.arrow_forwardIn Exercises 25–27, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. 25. Passing through (-1, –3) and (4, 2) 26. Passing through (-2, 3) and perpendicular to the line whose equation is y = -3x – 4 27. Passing through (6, -4) and parallel to the line whose equation is x + 2y = 5arrow_forward
- In Exercises 105–108, use a graphing utility to graph each linear function. Then use the TRACE feature to trace along the line and find the coordinates of two points. Use these points to compute the line's slope. Check your result by using the coefficient of x in the line's equation. 105. y = 2x + 4 106. y = -3x + 6 1 107. f(x) = -X- 2 3 108. f(x) = 7*arrow_forwardIn Exercises 1–14, write an equation for the specified line.1. through (1, -6) with slope 3 2. through (-1, 2) with slope -1/2 3. the vertical line through (0, -3) 4. through (-3, 6) and (1, -2)arrow_forwardExercises 39–42: Decide whether a line can pass through the data points. If it can, determine the slope of the line. 1 2 3 4 39. y -1 3 7 11 15arrow_forward
- Slope Exercises 5–18: If possible, find the slope of the line passing through each pair of points. 6. (-8, 5), (–3, –7)arrow_forwardExercises 123–125 will help you prepare for the material covered in the next section. 123. Write the equation y - 5 = 7(x + 4) in slope-intercept form. 124. Write the equation y + 3 7 (x – 1) in slope-intercept form. 125. The equation of a line is x + 4y – 8 = 0. a. Write the equation in slope-intercept form and determine the slope. b. The product of the line's slope in part (a) and the slope of a second line is -1. What is the slope of the second line?arrow_forwardWhat is the slope of the line that passes through the points (0, –7) and (–4, 3)?arrow_forward
- Find a general form of an equation of the line through P(4, –3) with slope 5.arrow_forwardUse the blue line for the women shown on the scatter plot to develop a model for the percentage of never-married American females ages 25–29. a. Use the two points whose coordinates are shown by the voice balloons to find the point-slope form of the equation of the line that models the percentage of never-married American females ages 25–29, y, x years after 1980. b. Write the equation from part (a) in slope-intercept form. Use function notation. c. Use the linear function to predict the percentage of never-married American females, ages 25–29, in 2020.arrow_forwardUse the red line for the men shown on the scatter plot to develop a model for the percentage of never-married American males ages 25–29. a. Use the two points whose coordinates are shown by the voice balloons to find the point-slope form of the equation of the line that models the percentage of never-married American males ages 25–29, y, x years after 1980. b. Write the equation from part (a) in slope-intercept form. Use function notation. c. Use the linear function to predict the percentage of never-married American males, ages 25–29, in 2015.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,