Chapter 7

Elementary Algebra · 322 exercises

Problem 52

Supply the missing word. The point at which a line crosses the \(y\) -axisis called the

2 step solution

Problem 52

For the following problems, find the slope of the line through the pairs of points. $$ (0,5),(2,-6) $$

5 step solution

Problem 53

Supply the missing word. The \(\quad\) of a line is a measure of the steepness of the line.

3 step solution

Problem 53

For the following problems, find the slope of the line through the pairs of points. $$ (-2,1),(0,5) $$

5 step solution

Problem 54

Find the slope of the line that passes through the points (4,0) and (-2,-6) .

3 step solution

Problem 54

For the following problems, find the slope of the line through the pairs of points. $$ (3,-9),(5,1) $$

5 step solution

Problem 55

Find the slope, if it exists, of the line through the given pairs of points. $$ \left(\frac{1}{3}, \frac{3}{4}\right),\left(\frac{2}{9},-\frac{5}{6}\right) $$

5 step solution

Problem 55

Graph the equation \(3 y=2 x+3\).

4 step solution

Problem 55

For the following problems, find the slope of the line through the pairs of points. $$ (4,-6),(-2,1) $$

3 step solution

Problem 56

Moving left to right, lines with _______ slope rise while lines with ________ slope decline.

4 step solution

Problem 56

For the following problems, find the slope of the line through the pairs of points. $$ (-5,4),(-1,0) $$

4 step solution

Problem 57

Compare the slopes of parallel lines.

4 step solution

Problem 57

For the following problems, find the slope of the line through the pairs of points. $$ (-3,2),(-4,6) $$

4 step solution

Problem 58

Write the equation of the line using the given information. Write the equation in slope-intercept form. Slope \(=4, \quad y\) -intercept \(=5\)

2 step solution

Problem 58

For the following problems, find the slope of the line through the pairs of points. $$ (9,12),(6,0) $$

5 step solution

Problem 59

Write the equation of the line using the given information. Write the equation in slope-intercept form. Slope \(=3, \quad y\) -intercept \(=-6\)

2 step solution

Problem 59

For the following problems, find the slope of the line through the pairs of points. $$ (0,0),(6,6) $$

4 step solution

Problem 60

Write the equation of the line using the given information. Write the equation in slope-intercept form. Slope \(=1, \quad y\) -intercept \(=8\)

4 step solution

Problem 60

For the following problems, find the slope of the line through the pairs of points. $$ (-2,-6),(-4,-1) $$

3 step solution

Problem 61

Write the equation of the line using the given information. Write the equation in slope-intercept form. Slope \(=1, \quad y\) -intercept \(=-2\)

2 step solution

Problem 61

For the following problems, find the slope of the line through the pairs of points. $$ (-1,-7),(-2,-9) $$

4 step solution

Problem 62

For the following problems, find the slope of the line through the pairs of points. $$ (-6,-6),(-5,-4) $$

5 step solution

Problem 63

Write the equation of the line using the given information. Write the equation in slope-intercept form. Slope \(=-11, \quad y\) -inter cept \(=-4\)

2 step solution

Problem 63

For the following problems, find the slope of the line through the pairs of points. $$ (-1,0),(-2,-2) $$

5 step solution

Problem 64

Write the equation of the line using the given information. Write the equation in slope-intercept form. Slope \(=2, \quad y\) -intercept \(=0\)

3 step solution

Problem 64

For the following problems, find the slope of the line through the pairs of points. $$ (-4,-2),(0,0) $$

3 step solution

Problem 65

Write the equation of the line using the given information. Write the equation in slope-intercept form. Slope \(=2, \quad y\) -intercept \(=0\)Slope \(=-1, \quad y\) -intercept \(=0\)

2 step solution

Problem 65

For the following problems, find the slope of the line through the pairs of points. $$ (2,3),(10,3) $$

5 step solution

Problem 66

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ m=3, \quad(4,1) $$

3 step solution

Problem 67

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ m=2, \quad(1,5) $$

4 step solution

Problem 68

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ m=6, \quad(5,-2) $$

6 step solution

Problem 68

For the following problems, find the slope of the line through the pairs of points. $$ (4,2),(6,2) $$

3 step solution

Problem 69

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ m=-5, \quad(2,-3) $$

3 step solution

Problem 69

For the following problems, find the slope of the line through the pairs of points. $$ (5,-6),(9,-6) $$

4 step solution

Problem 70

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ m=-9, \quad(-4,-7) $$

4 step solution

Problem 70

For the following problems, find the slope of the line through the pairs of points. Do lines with a positive slope rise or decline as we look left to right?

3 step solution

Problem 71

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ m=-2, \quad(0,2) $$

4 step solution

Problem 71

For the following problems, find the slope of the line through the pairs of points. Do lines with a negative slope rise or decline as we look left to right?

4 step solution

Problem 72

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ m=-1, \quad(2,0) $$

4 step solution

Problem 72

For the following problems, find the slope of the line through the pairs of points. Make a statement about the slopes of parallel lines.

2 step solution

Problem 73

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ (2,3), \quad(3,5) $$

3 step solution

Problem 73

For the following problems, determine the slope and \(y\) -intercept of the lines. Round to two decimal places. $$ 3.8 x+12.1 y=4.26 $$

2 step solution

Problem 74

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ (4,4), \quad(5,1) $$

3 step solution

Problem 74

For the following problems, determine the slope and \(y\) -intercept of the lines. Round to two decimal places. $$ 8.09 x+5.57 y=-1.42 $$

3 step solution

Problem 75

For the following problems, determine the slope and \(y\) -intercept of the lines. Round to two decimal places. $$ 10.813 x-17.0 y=-45.99 $$

3 step solution

Problem 76

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ (8,6), \quad(7,2) $$

3 step solution

Problem 76

For the following problems, determine the slope and \(y\) -intercept of the lines. Round to two decimal places. $$ -6.003 x-92.388 y=0.008 $$

3 step solution

Problem 77

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ (-3,1), \quad(2,3) $$

3 step solution

Problem 77

For the following problems, find the slope of the line through the pairs of points. Round to two decimal places. $$ (5.56,9.37),(2.16,4.90) $$

3 step solution

Problem 78

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ (-1,4), \quad(-2,-4) $$

3 step solution

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