Slope-Intercept/Direct Variation
Find the slope of the line containing the points (-2,3) and (9,-20).
m=-23/11
What is the equation of the line with a slope of -1/2 and goes through the point (-4,-1)?
y+1=-1/2(x+4)
Find the intercepts of the equation 3x-2y=6.
(2,0) and (0,-3)
A rental company charges $50 per hour to rent a jetski, along with a fee for gas of $25. Write an equation to model the scenario and define your variables.
y=50x+25
x=# of hours
y=total cost
Are the graphs of the following equations parallel, perpendicular, or neither.
2x+7y=-35
4x+14y=-42
Parallel
If x and y are related directly, and x=-2 when y=25, what is the equation to represent the relationship?
y=-12.5x
Write the equation of a line that goes through (4,-6) and (1,3).
y+6=-3(x-4) or y-3=-3(x-1)
A, B, and C must be what type of numbers?
Integers/Whole Numbers
A bus ride costs $1.75 and a train ride costs $2.00. Your monthly total for November is $90. Write an equation and define your variables to model the situation.
1.75x+2y=90
x=# of bus rides
y=# of train rides
Write an equation of a line that passes through (-3,5) and is parallel to y=-2/5x-2.
y=-2/5x+ 19/5
y-5=-2/5(x+3)
What is the equation of a line that has a slope of -3 and goes through the point (4,-1)
y=-3x+11
Write the equation of a horizontal line that passes through the point (4,3).
y=3
Convert 7x+2y=-18 into slope-intercept form.
y=-7/2x-9
The Middlesex County Fair sells ride tickets for $1.50 each plus a one-time parking fee. You spent $28 and went on 14 rides. How much is parking?
$7
Write an equation of a line that goes through (-1,4) and is perpendicular to y=3x+5.
y=-1/3x+ 11/3
y-4=-1/3(x+1)
What is the equation of the line that goes through (9,0) and (-2,-3)?
y=3/11x- 27/11
Melissa is spending money at an average of $3 per day. After 14 days, he has $68 left. The amount left depends on the number of days that have passed. Write an equation to model the situation.
y-68=3(x-14)
x=# of days
y=$ left
State three points on the line 3x+4y=48.
(0,12) (16,0) (4,9) (8,6) (12,3)
The cost of a taxi (C) varies directly as the distance (D) travelled. When the distance is 70 km, the cost is $35. Find the cost when the distance is 90 km.
$45
On a map, Dogwood Drive passes through (0, -9) and (4,-11). Lewis Road passes through (4,-5) and (6,-2). Are the two streets parallel, perpendicular or neither?
Neither
Write the equation of the line with a slope of 0 and y-intercept of (0,7).
y=7
Write an equation in point slope form that has the same x-intercept of 2x-5y=-27
y-0=___(x+13.5)
Slope can be anything
Write the equation of the line that goes through (-4,2) and (2,8).
x+y=-6
Jackson is ordering tickets for a concert online. There is a processing fee for each order, and the tickets are $76 each. Jackson ordered 5 tickets and the cost was $398. Predict the cost of 8 tickets.
$626
If the line through (-2,4) and (5,d) is parallel to the graph of 2x+5y=20, what is the value of d?
d=6/5