Intercepts
Find the y intercept of the line y = -2x - 9
(0,-9)
Find the slope of the line based on the following equation: y - 3 = -4(x + 4)
m = -4
Write an equation for a line that has a slope of 3 and a y intercept of -8
y = 3x - 8
Write an equation in point slope form for a line that passes through (3,-2) with a slope of 5
y+2=5(x-3)
What kind of line has a slope of 0?
Horizontal line
Find the x-intercept of the line y=3x−6
(2,0)
Calculate the slope of a line that passes through the points (1,4) and (3,10)
m = 3
Convert y-4=-3(x+1) to slope intercept form
y=-3x+1
Write the equation y=-4x+7 in standard form
4x+y=7
What kind of line has an undefined slope?
Vertical line
Find the y intercept of the line given by 2x + 5y = 20
(0,4)
A taxi charges a start rate of $6 and an additional $2.5 per mile. Write an equation representing this statement and identify the rate of change (slope).
y = 2.5x + 6
m = 2.5
Convert 4x - 2y = 10 to slope intercept form
y = 2x - 5
A line passes through the points (1,2) and (3,-1). Write an equation in point slope form using the second point
y+1=-3/2(x-3)
Describe a positive and negative slope.
Positive: /
Negative: \
A line crosses the x axis at (4,0) and the y axis at (0,2). Write an equation representing this line.
y = (-1/2)x + 2
Ms. Shi has a $120 gift card for swim lessons. If her instructor charges $27 per lesson and a $15 sign up fee, how many lessons can Ms. Shi take?
3 lessons
Write an equation in slope intercept form for a line that passes through the points (2,8) and (0,6)
y=x+6
Graph the following equation: 6x-3y=12
n/a
What does the line 4y=-16 look like and what is the slope?
Horizontal line at y=-4 with a slope of 0
Find the y intercept of a line passing through the points (3,0) and (4,2)
(0,-6)
The population of a new town grows from 12,000 to 15,500 over 5 years. Find the rate of the population growth per year and write an equation where x represents the number of years that have passed.
y = 700x + 12000
Population increases by 700 per year
Write an equation in slope intercept form for a line that passes through the point (3,7) and (5,13)
y=3x-2
The community book club has $300 to spend on paper and hard cover books. Paper books, x, cost $15 each, and hard cover books, y, cost $20 each. Write a standard form linear that represents how much of each they can by with their budget and identify the maximum number of hard cover books they can buy.
15x + 20y = 300
15 hard cover books
What does the line -5x=30 look like and what is its slope?
Vertical line at x=-6 with an undefined slope