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For Exercises 29–36, use the
The line passes through the point
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- For Exercises 25–36, determine the slope of the line passing through the given points. (See Example 2) 25. (4, –7) and (2, – 1) 26. (-3, –8) and (4, 6) 27. (17, 9) and (42, –6) 28. (-9, 4) and (-1, –6) 29. (30, –52) and (-22, –39) 30. (- 100, -16) and (84, 30) 31. (2.6, 4.1) аnd (9.5, —3.7) 32. (8.5, 6.2) аnd (-5.1, 7.9) 33. 6) and 35. (3 V6, 2V5) and (V6, V5) 36. (2VIT, –3V3) and (VTI, -5V3) 34. -3, and 4, 10arrow_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_forwardWrite an equation in point-slope form for the line passing through the points (4, -3) and (-2, 6). (See Figure 1.44.) Then solve the equation for y.arrow_forward
- Write the equation for the line through the points (-2, 8) and (7, –10) in the form y = m(x – xo) + yo where m is the slope of the line and (xo, yo) is a point that it passes through. This is sometimes referred to as the point-slope form of the line. y =arrow_forwardWrite an equation of the line passing through the point A(−1, 5) that is perpendicular to the line y = 1/7x+4arrow_forwardWrite an equation of a line that passes through the point (4.2) and is perpendicular to the line y=1/5x -3.arrow_forward
- Does the line through the points (1, 0, –4) and (1, –2, 1) intersect the x-axis? Explain your reasoning.arrow_forwardWrite an equation of the line passing through the point (2, –3) and perpendicular to the line defined by y = r – 4. Write the answer in slope-intercept form and in standard form.arrow_forwardWrite the slope-intercept form from the table Y -2 -1 -1 1. 1. 3. 5. 2.arrow_forward
- Use 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_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_forwardWhat is an equation of the line that passes through the points (0, –5) and (-5, –1)?arrow_forward
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