Vocabulary
x = 7
What is 7?
solution
2x + 4y = 10
What is the slope of the line graphed on the xy-plane?
-1/2
If the slope is negative, how is the line?
decreasing line
x - 7 = y
How many variables are there in this equation?
2
line l : y = 3x + 8
line k is parallel to line l.
what is the slope of line k?
3
vertical line
What is 2 called in this equation?
Coefficient
If two lines are perpendicular to each other, what is the product of their slopes?
-1
line l : y = 2x + 5
line k : y = 5x + 2
Which line is less steep?
line l
If the product of the slopes of two lines equals minus one, what is the relationship between them?
the two lines are perpendicular to each other
line l : y = 4x + 8
Line k is perpendicular to line l and passes through the point (0,8).
What is the value of y of the point that the two lines intersect?
8
When dealing with word problem questions, what words help us define the slope?
each, every, per, a, --ly
2x + y = 5
10x + 5y = 25
How many solutions does this system of equations have?
Infinitely many
How does the slope of a line change if the line is translated up 2 units and then to the left 3 units?
Unchanged
y = -5x + 20
For every increase of x by one, how many units does y increase/decrease?
decrease by 5