Linear Inequalities
if the inequality sign opens towards y, then y is _________ _______.
What is greater than?
The slope of a line that goes through (-1, 7) and (3, 9)
What is 1/2?
Two lines that are parallel will have this in common.
What is the same slope?
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]
Name a solution to the inequality y < 1/2x + 1.
Anything below the line, but not the points on the line.
The slopes of perpendicular lines will be:
What is opposite (or negative) reciprocals?
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 inequality x - 3y > 27 is slope-intercept form is:
What is y < 1/3x - 9?
When multiplying the slopes of perpendicular lines, one will always and forever get:
What is -1?
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.
Are the points on the line of the inequality y ≥ 2x + 6 part of the solution?
What is yes?
The slope of a line of the equation 4x + 3y = 8
What is -4/3?
The equation of a line (in slope-intercept form) that passes through (-3, -2) and is perpendicular to y = x + 1.
What is y = -x - 5?
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
Parallel lines will always have ___ solution.
Perpendicular lines will always have ___ solution.
What is No and One?
The equation of a line with a slope of -2 and goes through the point (2, 1) is perpendicular to this equation.
What is y = 1/2x?
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