Identify the rate of change for the following:
A waiter makes $3 each hour, plus tips. If his tips equate to $15 each hour, what is his hourly rate?
$18 per hour
Does (2,0) lie on the line: y=-0.5x+1 ?
yes
Find the x- and y-intercepts of: 4x-y=-12
x-int=-3 y-int=12
Write an equation for a line with a slope of 2 and goes through point W (-3,4).
y-4=2(x+3)
Write the direct variation equation:
Y varies directly with x. y = 5 when x = 12.
y=(5/12)x
Write the slope formula.
(y2-y1)/(x2-x1)
Does (7,4) lie on the line y=2x+1?
no
Write the following equation in standard form: y=-3/4x-4.
3x+4y=-16
Graph the equation y-3=4/3(x+4).
Figure C
Are the lines parallel, perpendicular, or neither? 3x+4y=-32
2-y=x-6
neither
1) Identify the slope of the line y=3
2) Identify the slope of the line x=-4
1) 0
2) undefined
Graph the equation y=5/2x+2 .
Figure D
Find the x- and y- intercept for: 15x+9y=45.
x-intercept=3 y-intercept=5
Write the equation for the line that goes through (9,5) and (-5,-4).
y+4=9/14(x+5)
or
y-5= 9/14(x-9)
If y varies directly with x and y = 3 when x = 12, find y when x = 28.
y=7
Do the points lie on the same line? A (6,6), B (1,2), C (-15,-10)
no
Write an equation, in slope-intercept form, of the line perpendicular to 3x+y=278 that goes through the ordered pair (9,4)
y=1/3x+1
Classify the triangle formed by the lines:
x+0y=1, 0x+y=-1, x+y=2
(three words, two adj., one noun)
What is isosceles right triangle?
A certain line contains the point (-4,5) and has the same slope as 10x+5y=15. Write an equation for the line.
y-5=-2(x+4)
Determine a trend line for the following:
x: 3 4 5 6 7 8
y: 23 28 36 42 51 59
(use (4,28) and (7,51) and round values to nearest hundredth)
y=7.67x -21.33
Find the slope of the line passing through the following points: (a-z, x-2), (-z, -2)
x/a
Wire the equations in slope-intercept form for the lines of the triangle formed by the points: C (3,7), D (-2,2), E (5,-5).
y=x+4
y=-x
y=-6x+25
Find the x- and y- intercepts for: 105x+104y=1010. Your answer may be in scientific notation or in standard notation.
x-intercept=100000 or 105 y-intercept=1000000 or 106
DAILY DOUBLE
(Double the points if you get this right)
Graph y= |x+2|-3 and state the translation(s) applied to the parent graph
graph of y=|x|shifted down 3 and left 2
What is the equation for the perpendicular line to: y=4,500,000/66,000x+97.3π that goes through (0,-2)
y=-11/750x - 2