Parallel and Perpendicular
Linear Equations
Linear Inequalities
Word Problems
100
What is the slope parallel to a slope of -2/3?
-2/3
100
What is the slope and the y-intercept of the line y=-1/2x+3?
Slope: -1/2
Y-intercept: 3
100
How do you know if the line for a linear inequality is solid or dotted?
dotted is greater than or less than
solid is greater than or equal to, less than or equal to
100
In order to join an ultimate frisbee club, there is a $20 startup fee and a $6 monthly fee. Write an equation in slope-intercept form that models this situation.
y = 6x + 20
200
What is the slope perpendicular to the slope 3?
-1/3
200
What is the slope and y-intercept of the line y=5x-1?
Slope: 5
Y-intercept: -1
200
For the linear inequality, y < 6x - 10, is (0, 0) a solution?
No! 0 is not less than -10
200
In order to become a member of the coding club, there is a $32 sign-up fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.
y = 4x + 32
300
Write the equation of a line parallel to the line y=3x-9 and passes through the point (5, -1) in point-slope form.
y+1 = 3 (x-5)
300
Write in equation in slope intercept form with the slope -2 and y-intercept 7.
y=-2x+7
300
Is (0, 0) a solution to the inequality graphed below?
No because of the dotted line.
300
In order to join the new planet fitness, you must pay $1 down and $10 per month. Write an equation to represent your total payments.
y = 10x + 1
400
Write an equation perpendicular to the line y=-2x+6 that passes through the point (-3, 11) in point slope form.
y-11 = 1/2 (x+3)
400
Write an equation in point slope form with the slope 4 and passes through the point (-2, 2).
y-2 = 4(x+2)
400
Is (0, 0) a solution to the inequality graphed below?
Yes, (0, 0) is in the shaded region.
400
Part A In order to become a member of the video game club, there is a $27 sign-up fee and a $6 monthly fee. Write an equation in slope-intercept form that models this situation.
Part B Use equation you wrote in part A to find the total cost of being a member of the video game club for 3 months.
y = 6x + 27
$45
500
Write an equation perpendicular to the line y=3/2x-4 that passes through the point (6, 0) in slope intercept form.
y=-2/3x+4
500
Write an equation in point slope form of the line above.
y-3 = 3/2 (x-4)
OR
y+1 = 3/2 (x+2)
500
Write the linear inequality in slope intercept form -2x+3y > 6
y > 2/3x + 2
500
Part A In order to become a member of community softball team, there is a $36 sign-up fee and a $8 monthly fee. Write an equation in slope-intercept form that models this situation.
Part B Use equation you wrote in part A to find the total cost of being a member of the video game club for 5 months.
y = 8x + 36
$76