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For Exercises 17–22, use the
The line passes through the points
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Beginning and Intermediate Algebra
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- Write 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_forwardExercises 83–86: The table lists data that are exactly linear. a. Find the slope-intercept form of the line that passes through these data points. b. Predict y when x = -2.7 and 6.3. Decide if these calculations involve interpolation or extrapolation. -3 -2 -1 1 83. y -7.7 -6.2 -4.7 -3.2 -1.7arrow_forwardWrite 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_forward
- Find the quadratic equation that fits the following set of data points. {(2, – 7),(5,29),(- 1,11)} Write the equation in standard form, y= ax+ bx +c.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 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_forward
- Write an equation of a line that passes through the point (4.2) and is perpendicular to the line y=1/5x -3.arrow_forwardWrite the slope-intercept equation of the line passes through (2.2, 6.4) and isperpendicular to the line defined by 2x = 4 -yarrow_forwardFind a general form of an equation of the line through P(4, –3) with slope 5.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
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage