Write an equation that passes through (2, 0) and has a slope of - 5.
y - 2 = -5(x)
*this is the same as y - 2 = -5(x - 0)
Write an equation in slope-intercept form for a line that passes through (2, -1) and has a slope of 4.
y = 4x - 9
Write an equation in slope-intercept to model the following.
There is currently 1/2" of snow on the ground. It snows 3" per week for the rest of the winter.
y = 3x + 1/2
Calculate the slope of the line through (-3, 5) and (3, -1)
-1
Each notebook in a store costs $3, and each eraser costs $2. If you want to spend exactly $18, write an equation in standard form modeling this situation.
3x + 2y = 18
Write the equation in slope-intercept of the line through the origin and (4, 8)
y = 2x
Museum entry is $15 per person and parking is $20 for the vehicle. Model the cost of admission, assuming everyone travels together in one vehicle.
If your cost is $80, how many people visited the museum?
y = 15x + 20
4 people visited
Write y - 3 = 1/3(x + 6) in slope-intercept form.
y = 1/3x + 5
A new shoe shop sold 40 shoes in the first day, and every day after that it sold 20 more shoes. Write an equation in point-slope form modeling the number of shoes the shop sold.
y - 40 = 20(x - 1)
Write a direct variation equation where y = 3 and x = 9.
y = (1⁄3)x
Write an equation in standard form of the line that passes through (-5, 3) and has a slope of -2.
2x + y = -7
In a supermarket, each box of veggie burgers costs $4, and each carton of juice costs $3. If you want to spend exactly $24, what are three different combinations of groceries you could buy?
0 burgers, 8 juice cartons
3 burgers, 4 juice cartons
6 burgers, 0 juice cartons