Ch ap t er Test MathXL® fo r School
35 Go to PowerAlgebra.comDo yo u k n o w H OW?
Write an equation in slope-intercept form of each line.
Write an equation in point-slope form of the line
through the given point and with the given slope.
- (5,1 );m = |
- (-2,3); m = — 2
Write each equation in standard form using integers.
- y = \x + 5
- y + 4 = | (x + 6)
Graph each equation.
- y = 4x — 3
- y = 7
- y + 3 = \ (x + 2)
- 3 x + 5 y = 15
Determine whether each equation represents a direct
variation. If it does, find the constant of variation.
- 2x + 3y = 0
- 4 x + 6y = 3
Graph each function.- y = |x 41
- y = |x| + 3
15. Pet Grooming You start a p e t groom ing service.
You sp en d $30 o n supplies. You p lan to charge $5 to
groom each pet.
a. W rite an eq u a tio n to relate your p ro fity to the
n u m b e r of pets x you groom.
b. G raph th e equation. W hat are th e x- and
y-intercepts?
Number of Inventors
Applying for Patents1999 22,052(^2001) 20,588
(^2003) 18,462
2005 14,039
2007 13,748
Source: U.S. P atent O ffice
- Make a scatter plot an d draw
a tre n d line for th e d ata in
th e table. Interpolate or
extrapolate to estim ate the
n u m b e r of inventors applying
for p aten ts in 2006 and
in 2015. - W hat is an eq u a tio n of the
line parallel to y = —x + 1
an d th rough (4,4)? - W hat is an eq u a tio n of
th e line p erp en d icu lar to
y = - x - 2 a n d th rough ( - 2 ,4 )?
Do y o u UN DERSTAN D?
- W riting How are lines of b est fit a n d o th er trend
lines u sed w ith scatter plots? - Open-Ended W rite an e q u a tio n w hose graph is
parallel to th e graph of y = 0.5x - 10. - Compare and Contrast Is an e q u a tio n that
rep resen ts a direct variation a type of linear
equation? Explain. - Vocabulary W hat does it m e a n w h en a line of best
fit has a correlation coefficient
close to 1? - Reasoning How many lines can
you draw th a t are parallel to the
line an d thro u g h th e p o in t show n
at th e right? Explain.