Concept explainers
For Exercises 17–22, use the
The line passes through the points
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Beginning and Intermediate Algebra
Additional Math Textbook Solutions
Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Elementary Linear Algebra (Classic Version) (2nd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Algebra and Trigonometry (6th Edition)
Pre-Algebra Student Edition
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Introductory and Intermediate Algebra for College Students (5th Edition)
- 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
- 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 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_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_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
- 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_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