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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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- 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_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 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_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_forward
- Write 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_forwardFind a general form of an equation of the line through P(4, –3) with slope 5.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_forward
- What is an equation of the line that passes through the points (0, –5) and (-5, –1)?arrow_forwardWrite an equation of the line passing through the point A(−1, 5) that is perpendicular to the line y = 1/7x+4arrow_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
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