# Homework for Algebra - Graphs Slopes and intercepts

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Homework for Algebra 20 simple brief questions about 5 of them you need to line on a graph, the rest is simple problems shouldn't take more than 2 hours at most to finish.

Math 105 - Intermediate Algebra Name___________________________________ ©A O2x0z1J7A pKwustDaE tSIoSfLtHwEaUrleg TLWLUCZ.a K DA]lalU srJi]gnhytxsA [r`eLsSeZrNvzeodO. HW #3 - Worth 100 points Date________________ Sketch the graph of each line. 1) 0 = -2 y - 2 - 3x 2) -5 + y + 7x = 0 y y 6 6 5 5 4 4 3 3 2 2 1 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 x -6 -5 -4 -3 -2 -1 1 -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 2 3 4 5 6 x 3) -12 = -12x + 3 y y 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 x -1 -2 -3 -4 -5 -6 Worksheet by Kuta Software LLC -1- ©G H2M0e1j7r oKGuftXak jSOoQfbtuwKa\rSeV bLuLdCh.K x _A`lmly ^rDiKgMhstFsE Ar_easIemr_v[eKd_.b K jMmaodWeR YwDiItwhg JI_nifviKnoimtBeD _AtlEgDe`bArTaG B2`. Write the slope-intercept form of the equation of the line through the given point with the given slope. 4) through: (4, -3), slope = - 5 4 5) through: (-4, -1), slope = 1 4 Write the slope-intercept form of the equation of the line through the given points. 6) through: (-3, -4) and (2, 3) 7) through: (4, 0) and (0, -3) 8) through: (-3, -2) and (3, -1) 9) through: (-1, 4) and (-4, 3) 10) through: (3, -5) and (3, -3) Write the slope-intercept form of the equation of the line described. 1 11) through: (3, 1), parallel to y = x + 4 3 1 12) through: (-5, -5), parallel to y = x + 5 5 13) through: (5, 4), perp. to y = -5x - 4 2 14) through: (2, 3), perp. to y = - x - 3 7 15) Find the value of a such that the graphs of 1 1 5 y = ax + 5 and y = x - 1 are parallel. 4 10 16) Find the value of k such that the graphs of x + 7 y = 70 and y + 3 = kx are perpendicular. Find the rate of change. 17) JET TAKEOFF. Upon takeoff, a jet climbs to 4 miles as it passes over 40 miles of land below it. Find the slope of the jet's climb. 18) HEALTH INSURANCE Premiums for family health insurance plans have increased steadily in recent years. In 2000, the average premium was \$6438 per year. By 2008, this amount had increased to \$12,680 per year. Find the rate of change (slope) of the average yearly family health insurance premium with the respect to time, in years. Worksheet by Kuta Software LLC -2- ©B q2P0n1s7B pKIuqtwaS mSboMfdtrw\aorse^ `LDLNCL.W e QAMlsld irpi]g_hbtUsl ^ryePs[eXrSvyeNdU.^ r UMKaXdte\ FwliCtQhn WI_nqfaiknfiHtre] HA\lEgveXbbroax u2a. Writing an equation and solve. 19) PLAYING FOR A CONCERT. A famous band is considering playing a concert and charging \$40,000 plus \$5 per person attending the concert. Write an equation relating the income y of the band to the number x of people attedning the concert. 20) CAR RENTAL. The U Drive car rental agency charges \$30.00 per day and \$0.25 per mile. a. Find an equation relating the cost C of renting a car from U Drive for a one-day trip covering x miles. b. Draw a graph of the equation in part (a) (Use graph below) c. How much does it cost to rent the car for one day covering 60 miles? d. How many miles were driven if the one-day rental cost was \$47.75? y 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 -3 -2 -1 1 2 3 4 5 6 x -2 Worksheet by Kuta Software LLC -3- ©U C2N0G1m7i cKFuPtGa[ KSEoffgt]wBaeryea SLaLTCf.K l lAilBls ArhiGgnhdtSsG `rTePsLelr[vDerdU.D i bMmaedWeT swUiYtfhI TIQnofuipnOivtGeG bAclCgJe[bvrmar w2S.

jesusale932
School: New York University

Sketch the graph of each line.
1) 0 = -2y - 2 - 3x

2) -5 + y + 7x = 0

3) -12 = -12x + 3y

Write the slope-intercept form of the equation of the line through the given point with the given
slope.
4) through: (4, -3), slope = - 5/ 4

5) through: (-4, -1), slope = 1 /4

Write the slope-intercept form of the equation of the line through the given points.
6) through: (-3, -4) and (2, 3)

Using the second point

7) through: (4, 0) and (0, -3)

Using the second point

8) through: (-3, -2) and (3, -1)

Using the second point

9) through: (-1, 4) and (-4, 3)

Using the second point

10) through: (3, -5) and (3, -3)

Write the slope-intercept form of the equation of the line described.
11) through: (3, 1), parallel to y = 1/ 3 x + 4
If the line is parallel it has the same slope so

12) through: (-5, -5), parallel to y = 1/5 x + 5
If the line is parallel it has the same slope so

13) through: (5, 4), perp. to y = -5x – 4
If the line is perpendicular it has the slope as

14) through: (2, 3), perp. to y = - 2/7 x - 3
If the line is perpendicular it has the slope as

15) Find the value of a such that the graphs of
5y = ax + 5 and 1/ 4 y = 1/10 x - 1 are parallel
First we put the second equation into slope form to find the slope

So the slope is 2/5. If the two lines are parallel they will have the same slope. We put the fist
equation in the slope form:

So a/5 has to be equal to 2/5 that is the slope for the two equations, because they are parallel.
Then value a is:

16) Find the value of k such that the graphs of x + 7y = 70 and y + 3 = kx are perpendicular.
First we put the first equation into slope form to find the slope

So the slo...

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Anonymous
Excellent job

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