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For Exercises 17–22, use the
The line passes through the points
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- 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_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_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_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_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
- Use 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_forwardFind a general form of an equation of the line through P(4, –3) with slope 5.arrow_forwardWrite an equation of the line passing through the point A(−1, 5) that is perpendicular to the line y = 1/7x+4arrow_forward
- Write the slope-intercept equation of the line passes through (2.2, 6.4) and isperpendicular to the line defined by 2x = 4 -yarrow_forwardWhat is an equation of the line that passes through the points (0, –5) and (-5, –1)?arrow_forwardWhat is an equation of the line that passes through the points (0, –5) and (–6,0)? Put your answer in fully reduced form. Answer: Submit Answerarrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage