A
Two lines have equations y=2x+1 and y=2x-5.Are they parallel,perpendicular or intersecting?
parallel
fA popular video game displays 60 frames per second. Which of the following equations shows the total number of frames, f, that the video game will display in s seconds?
f=60s
Kevin is playing a trivia game. The game awards the player 5 points for each correct answer, but deducts 2 points for each incorrect answer. If Kevin scores more than 100 points, which of the following describes x, the number of questions he answered correctly, and y, the number of questions he answered incorrectly?
5x-2y>100
Dan and Makiko started doing their homework at the same time. It took Dan twice as long to finish his homework than Makiko did. If Dan also took 40 minutes longer than Makiko did, which of the following systems of equations could be used to determine d, the amount of time Dan took to finish his homework in minutes, and m, the amount of time it took Makiko to finish her homework in minutes?
d=2m
m+40=d
The function f is defined f(x)=15x+40.What is the value of f(x) when x=3
85
What is the slope of a line that passes through the points (-3,-5) and (1,7) in the xy-plane?
3
A line passes through (3,7) and (8,17).
Find the equation of the line.
y=2x+1
If the slope of a line is –4 and the line passes through (1,6), what is the equation of the line?
y=-4x+10
Determine whether the following lines are parallel:
y=3x+1 and 6x-2y=8
yes,they are parallel
A line has slope 2 and passes through (0,3).
Find the value of y when x=6.
9
Find the equation of a line that passes through (2,5) and is parallel to y=-3x+4.
y=-3x+11
Find the equation of a line perpendicular to y=4x+2 that passes through (0,3).
y=-1/4x+3
If f(x)=2x-1 ,find f(5)-f(2).
6
The graph of a line crosses the y-axis at 6 and the x-axis at 3.
Find the equation of the line.
y=-2x+6
Find the intersection point of the lines y=3x-2 and
y=-x+6
(2,4)
A line passes through (3,5) and is perpendicular to
y=-2x+7.Find the equation.
y=1/2x+7/2
The function g is defined by g(x)=5x+c(x+4),where c is a constant,and g(2)=46.What is the value of g(5)?
79
In the xy-plane,line p has a slope -8 and a y-intercept (0,72).What is the x-coordinate of the x-intercept of line p.
9
The function f is defined by f(x)=4x-68.What is the x-intercept of the graph y=f(x) in the xy-plane?
(17,0)
The functions f and g are defined as f(x)=3/8x-14 and g(x)=5/8x+54.If the function h is defined as h(x)=f(x)+g(x),what is the x-coordinate of the x-intercept of the graph of y=h(x) in the xy-plane
-40
Two lines intersect at the point (2,5).
One line has slope 3.
The second line passes through (0,1) and the intersection point.
Find the equations of both lines.
line 1 :y=3x-1
line 2:y=2x+1
A line passes through (4,9) and is perpendicular to the line that passes through (2,3) and (6,11).Find the equation of the required line .
y=-1/2x+11
The graph of the function f(x)=mx+b passes through the points
(2,7) and (5,13).
Another function g(x)=ax-1 is parallel to f(x).
Find the equation of g(x) if it passes through (3,8).
g(x)=2x+2
Two lines intersect at the point (3,4).
One line has equation y=2x-2
The second line is perpendicular to the first and passes through the intersection point.
Find the equation of the second line.
y=-1/2x+11/2
Three points lie on a linear function:
(a,3) ;(4,11) ;(6,15)
Find the value of a.
Then write the equation of the function.
a=0
y=2x+3