What are the three parts in the slope-intercept form?
slope, y-intercept, and a point (x,y)
100
When graphing a direct variation/ proportion, the line always passes through which point?
(0,0) or the origin
100
How many solutions do parallel lines have?
None
100
Write the equation for the line passing through (4, 5) with a slope of -3/5 in point-slope form.
(y-5)=-3/5(x-4)
200
Which slope is steeper?
A.) 1/2
B.) -4
C.) 3
D.) -3/2
E.) 10/3
B
200
Write 2x+4y=10 in slope intercept form?
y= 1/2x+5
200
Is this a direct variation? EXPLAIN.
(2,8), (3,12), (4,16), (5,22)
No, the first three point have a proportion of 4, but the last has 22/5 or 4.4
200
How many solution do these equations have?
y=3x+2
y=2x-3
one solution
200
The cost of a pair of inline skates is $63. If the inline skates are on sale for 35% off, what is the sale price of the inline skates?
$40.95
300
What is the difference between positive slope and negative slope?
positive slope- the line climbs from left to right
negative slope- the line drops from left to right
300
Write the equation for the line passing through (3,1) with a slope of 2 in slope-intercept form.
y=2x-5
300
x varies directly with y, x=3 and y =10; what is x when y=20
6
300
How many solutions does the following equations have?
y=1/2x-4
y=1/2x+2
none
300
Monty has a total of $290 in ten dollar and five dollar bills. This can be represented by the function 10x + 5y = 290. Interpret the x- and y-intercepts.
The x-intercept indicates that he has 29 ten dollar bills and no five dollar bills. The y-intercept indicates that he has 58 five dollar bills and no ten dollar bills.
400
What is the slope of the line that passes through (-3, 4) and (9, 28)
2
400
Write the equation for the line passing through points (1,3) and (4,9) slope-intercept form.
y=2x+1
400
The power absorbed by a solar panel varies directly with its area. If an 8 square meter panel absorbs 8,160 watts of power, how much power does a 12 square meter solar panel absorb?
12,240 watts
400
Give the solution for the given equations:
y = –x – 4
y = x
(2, 2)
400
SHOPPING You are buying a jacket that costs $69.95. If the sales tax rate is 7.75%, which of the following would it be a reasonable estimate of the sales tax?
a. $10.00
b. $7.75
c. $5.60
d. $4.90
c
500
What is the slope of the line that passes through (-2,5) and (-3,4)
1
500
Write the equation for the line passing through (5, -5) and (10, -7) slope-intercept form.
y=-2/5x-3
500
INSECT CONTROL Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds to cover an additional 2,640 square feet. About how many pounds of insecticide would Mr. Malone need to cover his whole lawn of 4,480 square feet?
102 lb
500
Give the solution to the following equations:
y = x + 5
y = –2x
(-5/3, 10/3)
500
VOLUNTEERING Greg helps his mother deliver care baskets to hospital patients each Saturday. Last Saturday at noon they had three times as many baskets left to deliver as they had already delivered. If they were delivering a total of 64 baskets that day, how many had they delivered by noon?