Point Slope Form
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)
Find the slope of y = -3x + 2
m = -3
Find the y intercept of the equation, x + y = 3.
y = 3
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
Find the x intercept for the following equation,
3x + y = 9
x = 3
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
Find an equation for a line that passes through (-5, 3) and (2, 1).
y - 3 = -2⁄7(x + 5)
A Caribbean nation produced 0.7 million tons of cane sugar. Annual production was projected to decrease by 0.05 million tons each year. Write an equation to model the situation.
y = 0.7 - 0.05x
Find the x intercept of the equation, 8x - 4y = 16.
x = 2
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 an equation that passes through (2, -1) and is parallel to y = 4x.
y + 1 = 4(x - 2)
Write the equation 5x - 4y = 20 in slope-intercept form.
y = 5⁄4x - 5
Write an equation in standard form that passes through the points (0, -4) and (5, 3).
x - 5y = 20
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)
Find an equation for a line that passes through (2, -9) and (-3, 5).
y + 9 = -14⁄5(x - 2)
Convert the equation into slope intercept form
y-3=2(x+7)
y = 2x+10
Find the x intercept of the equation, 7x + 4y = 12.
12⁄7
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