Studied by 5 peopleRelation
a set of ordered pairs
Domain
set of inputs, also called x-coordinates
Range
Set of ouputs, also called y-coordinates
Function
All x-values must be different; y-values don't matter
In a function every vertical line must intersect the graph in
At most one point
Linear Equations : are Degree 1
a) have no operation other than addition, subtraction and multiplication of a variable by a constant b) variables cannot be multiplied together c) variables cannot appear in the denominator of a fraction d) exponents on the variable must be 1
used to find slope when given 2 points (x1,y1) (x2,y2)
m= y2-y1/x2-x1
horizontal line
0 Slope
slope
The steepness of a line on a graph
parallel lines
have the same slope
perpendicular lines
have negative reciprocal slopes
y-intercept
the point where a graph intersects the y-axis
x-intercept
the point where a graph crosses the x-axis
Standard form of a linear equation
Ax+By=C A,B,C are integers
x & y must be on the same side
x must be positive
no fractions or decimals ex) x-y=-3
m =
-A/B
y-intercept
C/B
x-intercept
C/A
Scatterplot
graph that relates 2 sets of data by plotting the data as ordered pairs; a cluster of points
line of best fit (trend line)
"average" line that goes through the middle of the scatter plot
rises to the right
positive correlation
falls to the right
negative correlation
prediction equation
the equation of the line of best fit that makes predictions about data not in your scatter plot; this is your equation of the line in slope-intercept form (y=mx+b)
If lines do not intersect, then they are
Parallel
If lines intersect and form right angles, then they are
perpendicular
Standard Form
Ax+By=C
slope-intercept form
y=mx+b
If < or > , connect the points with a
Dashed Line
If ≤ or ≥ , connect points with a
Solid Line
If > or ≥ , shade _____ the line
Above
If < or ≤ , shade _____ the line
Below
You only change the inequality sign if you divide or multiply both sides by a negative number. Thus, if you divide or multiply both sides by a positive number,the inequality sign will not change.
TRUE
Note
Flashcard