Chapter 5

Write in point-slope form the equation of the line that is parallel to the given line and passes through the given point. $$ y=\frac{1}{4} x-6,(3,3) $$

Write in slope-intercept form the equation of the line described below. $$ m=3, b=2 $$

In Exercises \(12-17\), use the following information. Renting a canoe costs 10 dollars plus 28 dollars per day. The linear model for this situation relates the total cost of renting a canoe, \(y,\) with the number of days rented, \(x\). Use the slope and \(y\) -intercept form to write the linear model.

Determine whether the lines are perpendicular. $$ y=\frac{3}{5} x+2, y=-\frac{5}{3} x-2 $$

Write in point-slope form the equation of the line that passes through the given points. $$ (-7,2) \text { and }(0,1) $$

Write in slope-intercept form the equation of the line described below. $$ m=1, b=-1 $$

Determine whether the lines are perpendicular. $$ y=\frac{4}{7} x+2,4 y=-7 x-16 $$

Write in point-slope form the equation of the line that passes through the given points. $$ (-8,6) \text { and }(-13,1) $$

Write the equation in standard form with integer coefficients. \(y=-5 x+2\)

Write in slope-intercept form the equation of the line described below. $$ m=0, b=6 $$

Determine whether the lines are perpendicular. $$ y=-5, x=5 $$

In Exercises \(12-17\), use the following information. Renting a canoe costs 10 dollars plus 28 dollars per day. The linear model for this situation relates the total cost of renting a canoe, \(y,\) with the number of days rented, \(x\). Use the linear model to find the cost of renting a canoe for 3 days.

Write in point-slope form the equation of the line that passes through the given points. $$ (11,-2) \text { and }(17,6) $$

Write the equation in standard form with integer coefficients. \(y=3 x-8\)

Write in slope-intercept form the equation of the line described below. $$ m=10, b=0 $$

In Exercises \(12-17\), use the following information. Renting a canoe costs 10 dollars plus 28 dollars per day. The linear model for this situation relates the total cost of renting a canoe, \(y,\) with the number of days rented, \(x\). If you had 66 dollars to spend, for how many days could you rent a

Write in point-slope form the equation of the line that passes through the given points. $$ (-4,5) \text { and }(4,5) $$

Write the equation in standard form with integer coefficients. \(y=-9+4 x\)

Write in slope-intercept form the equation of the line described below. $$ m=\frac{2}{5}, b=7 $$

From 1994 through 1997 , the cost of owning and operating a car per mile, which includes car maintenance and repair, increased by about 2.2 cents per year. In \(1995,\) it cost about 48.9 cents per mile to own and operate a car. Let \(t=0\) represent the year 1994 Find the slope of the linear equation that models this situation.

Write in slope-intercept form the equation of the line described below. $$ m=-4, b=-\frac{3}{7} $$

In Exercises \(18-23\), use the following information. From 1994 through 1997 , the cost of owning and operating a car per mile, which includes car maintenance and repair, increased by about 2.2 cents per year. In \(1995,\) it cost about 48.9 cents per mile to own and operate a car. Let \(t=0\) represent the year 1994. Name one point on the line.

Write the equation in standard form with integer coefficients. \(y=-\frac{3}{8} x\)

Write in slope-intercept form the equation of the line described below. $$ m=-1, b=-\frac{2}{5} $$

Write in slope-intercept form the equation of the line passing through the two points. Show that the line is perpendicular to the given line. Check your answer by graphing both lines. $$ (8,5),(5,-1) ; y=-\frac{1}{2} x+4 $$

Write in point-slope form the equation of the line that passes through the given point and has the given slope. $$ (-1,-3), m=4 $$

Write the equation in standard form with integer coefficients. \(y=9 x+\frac{1}{2}\)

Write in point-slope form the equation of the line that passes through the given point and has the given slope. $$ (-6,2), m=-5 $$

Write in slope-intercept form the equation of the line passing through the two points. Show that the line is perpendicular to the given line. Check your answer by graphing both lines. $$ (-2,-2),(1,-3) ; y=3 x-1 $$

In Exercises \(18-23\), use the following information. From 1994 through 1997 , the cost of owning and operating a car per mile, which includes car maintenance and repair, increased by about 2.2 cents per year. In \(1995,\) it cost about 48.9 cents per mile to own and operate a car. Let \(t=0\) represent the year 1994. Use an algebraic approach to predict the cost of owning and operating a car in 2003.

Write in standard form an equation of the line that passes through the given point and has the given slope. \((-8,3), m=2\)

Write in point-slope form the equation of the line that passes through the given point and has the given slope. $$ (-10,0), m=2 $$

Write in slope-intercept form the equation of the line passing through the two points. Show that the line is perpendicular to the given line. Check your answer by graphing both lines. $$ (-3,6),(3,0) ; y=x+2 $$

Write in standard form an equation of the line that passes through the given point and has the given slope. \((-2,7), m=-4\)

Write in point-slope form the equation of the line that passes through the given point and has the given slope. $$ (-8,-2), m=2 $$

Write in slope-intercept form the equation of the line passing through the two points. Show that the line is perpendicular to the given line. Check your answer by graphing both lines. $$ (4,-7),(7,5) ; y=-\frac{1}{4} x $$

Write in standard form an equation of the line that passes through the given point and has the given slope. \((-1,4), m=-3\)

Write in point-slope form the equation of the line that passes through the given point and has the given slope. $$ (-4,3), m=-6 $$

Write in slope-intercept form the equation of the line passing through the two points. Show that the line is perpendicular to the given line. Check your answer by graphing both lines. $$ (1,9),(9,9) ; x=1 $$

Write in standard form an equation of the line that passes through the given point and has the given slope. \((-6,-7), m=-1\)

Write in point-slope form the equation of the line that passes through the given point and has the given slope. $$ (-3,4), m=6 $$

Write in slope-intercept form the equation of the line passing through the two points. Show that the line is perpendicular to the given line. Check your answer by graphing both lines. $$ (-6,-4),(0,0) ; y=-\frac{3}{2} x-3 $$

Write in standard form an equation of the line that passes through the given point and has the given slope. \((3,-2), m=5\)

Write in point-slope form the equation of the line. Then rewrite the equation in slope-intercept form. $$ (12,2), m=-7 $$

Write in standard form an equation of the line that passes through the given point and has the given slope. \((10,6), m=0\)

Write in slope-intercept form the equation of the line that passes through the given points. $$ (1,-5) \text { and }(3,4) $$

Write in point-slope form the equation of the line. Then rewrite the equation in slope-intercept form. $$ (8,-1), m=0 $$

Use the following information. A basketball team scored 102 points in a playoff game. Each field goal is 2 points and each free throw is 1 point. The team scored no 3 -point field goals. Write a linear model for the number of points the team scored in terms of field goals \(x\) and free throws \(y .\)

Write in standard form an equation of the line that passes through the given point and has the given slope \((2,9), m=\frac{2}{5}\)

Write in slope-intercept form the equation of the line that passes through the given points. $$ (-1,-2) \text { and }(2,6) $$