Slope
Vocabulary
Types of Solutions
Linear Functions
What is the solution?
100
What line has a 0 slope?
horizontal
100
What is the definition of the y-intercept?
the point where a line crosses the y-axis
100
What are the three types of solutions for a system of linear equations?
One solution
No solution
Infinite solutions
100
What is slope-intercept form?
y = mx+b
100
What is the solution?
(-1,1)
200
If a line rises from left to right, what type of slope does it have?
positive
200
What are equivalent equations?
equations that have the same solution(s)
200
Does the system have one solution, no solution, or infinite solutions?
y = -5x + 4
y = -3 + (-5x)
no solution
200
In y=mx+b, what letter represents the slope?
m
200
How many solutions are there?
no solutions
300
If a line goes down from left to right, what type of slope does it have?
negative
300
What is two or more equations in the same variable that are solved at the same time
a system of equations
300
How many solution(s) does the system have?
y = -2x +1
y = 1 + (-2x)
infinite solutions
300
Write the equation of a line with a slope of 2 and a y-intercept of 3.
y = 2x + 3
300
What is the solution?
infinitely many solutions
400
What is the slope formula?
y2 - y1/x2 - x1
rise/run
400
What are lines that lie on top of each other?
coinciding lines
400
How many solution(s) does the system have?
y = 3x + 5
y = 2x + 5
one
400
Describe the process for graphing this equation:
y = x + 2
Graph the y-intercept first.
Then from the y-intercept go up 1 and right 1 to find another point.
400
What is the solution?
Infinitely many solutions
500
A vertical line has what type of slope?
undefined
500
What are lines that never cross?
parallel lines
500
How many solution(s) does the system have?
y = 2x + 5
y = 5 - 2x
one
500
How can you identify a linear function from a graph?
It is a straight line that passes the Vertical Line Test
500
What would a systems of equations with no solution look like on a graph?
parallel lines