Slope
Will a line going down and to the right have positive or negative slope?
Negative slope
If a line has an equation y = 2x - 7, what is its slope?
2, or 2/1
What is the x-coordinate of the point where these lines intersect? y = 3x - 10 and y = 7x + 30
-10
What is the x-coordinate of the point where these two lines intersect?
5x - 9y = 11
2x + 9y = 17
x = 4
Should an inequality using this symbol ( < ) be dotted or solid?
Dotted
What is the slope of the line that goes through the points (3, 7) and (9, 12)?
5/6
If a line has an equation of y = 2/3 x - 5, what is its y-intercept?
-5
Find the point where these two lines meet: y= -3x + 8 and y = 2x - 7
(3,-1)
The sum of two numbers is 32, but the difference between them is 12. What are the two numbers?
22 and 10
For the inequality y > 5/8 x - 4, which side should you shade?
The side with (0,0)
What kind of line has a slope of zero?
Horizontal line
What is the equation for a line that goes through (0,-8) and (2,12) in slope-intercept form?
y = 10x - 8
Solve the following system of equations:
x - 3y = 24
y = 2/3 x - 7
(-3,-9)
To solve the following system of equations using the elimination method, what is the best first step?
8x + 3y = 18
-2x + 5y = 7
Multiply the entire bottom equation by 4
For the inequality 8x - 3y > 14, which side should you shade?
The side that does not contain (0,0)
What kind of line has an undefined slope?
Vertical line
For the line 3x + 4y = 24, what are its x and y-intercepts?
(0,6) and (8,0)
Solve the following system of equations:
y = 5x - 1
-10x +2y = -2
Infinite solutions (same line)
Solve the following system of equations:
4x - 6y = 10
-2x + 3y = 5
No solution (parallel lines)
In a system of inequalities, how do you determine the section that satisfies both inequalities?
Test (0,0) for each inequality to know which side to shade, and see which section is "doubly shaded"
A line goes through the point (1,3) and has a slope of -5. What is the y-coordinate of the point on the line when x = 3?
-7
For the line y = 4x - 11, what is the y coordinate when x = 5?
9
Solve the following system of equations:
2x + y = 7
3x + 2y = 12
(2, 3)
Solve the following system of equations:
5x - 2y = 17
3x + 6y = 3
(3, -1)
For the inequality y > x, which side should you shade?
The upper left side