Intercepts
Explain what a y-intercept is.
Any of these:
- Point where a line crosses the y-axis
- Point where x = 0
- Beginning (or initial value)
The slope of a line that goes through (-1, 7) and (3, 9)
What is 1/2?
The equation 4x - 2y = 10 written in slope intercept form
What is y = 2x - 5?
y = -7x + 6 written in standard form.
What is 7x + y = 6?
Describe how to graph the line y = -3/4x + 14.
Start at 14 (on the y-axis), then move down 3, right 4 from there. [OR up 3, left 4 from the 14 on the y-axis]
Is (-4, 7) a point on the line y=-2x-1? How do you know?
yes
y = 2x + 5 written in standard form.
Either of these is acceptable:
-2x + y = 5 or 2x - y = -5
A line starts at the point (0, 2) with the next point 3 units right and 5 units up from there. This is the equation of the line.
What is y=5/3x + 2?
The x- and y-intercepts of 3x + 9y = 27
What is x = 9 and y = 3?
The equation of a line (in slope-intercept form) that has m=6 and b=(0,4)
What is y = 6x + 4?
Chips cost $2 per bag and cookies cost $3 per pack. Write an equation to show how many bags of chips (x) and packs of cookies (y) I can buy with $20.
What is 2x + 3y = 20?
How to graph the equation y = 1/3x -5
Put a point on (0,-5) then move up 1 and right 3 units from there.
The slope of a line of the equation 4x + 3y = 8
What is -4/3?
The equation 5x + 8y = 100 represents the number of vans (x) and buses (y) needed to transport students to a field trip. If 6 vans are used, how many buses will be needed to transport the remaining students?
What is 9?
Write the equation of the line in slope intercept form.
x / y
-2 / -16
5 / 33
-1 / -9
y=7x-2
The equation of a line with an undefined slope and goes through the point (-9, 14).
What is x = -9?
2x - 8y = 32 crosses the x-axis at what point?
What is (-4, 0)?
Write an equation of a line that passes through (5,6) and (0,11).
y=-x+11