Linear Equations
If f(a) = b, then the graph of f(x) passes through the point...
(a, b)
How do you find slope in the standard form Ax + By = C?
-A/B
What is the formula for finding slope in the standard form Ax + By = C?
-A/B
Negative Slope
line falls from left to right
Undefined Slope
vertical line
What does the graph of a linear equation look like in the coordinate plane?
A line
What is a system of equations?
A set of equations that share variables
What is a linear equation?
An equation where the variables are taken to the 1st power
What is the standard form of linear equation?
Ax + By = C
If a system has no solutions, it means the lines have ______ slopes and _______ y-intercepts
EQUAL slopes and DIFFERENT y-intercepts
What are the two ways to solve systems of linear equations?
Elimination and Substitution Method
Perpendicular lines have equal slopes. True or False?
False. Perpendicular lines have negative reciprocal slopes.
If a system has infinite solutions, it means the lines have ______ slopes and _______ y-intercepts
If a system has infinite solutions, it means the lines have THE SAME slopes and THE SAME y-intercepts
How do you find the y-intercept in the standard form Ax + By = C?
Plug in 0 for x, Solve for y
How do you find the x-intercept in the standard form Ax + By = C?
Plug in 0 for y, Solve for x
To find the equation of a line between two points, first find the slope. Then...
Plug in the slope for "m" and a point for "x" and "y" into y = mx + b
Slope Formula, given 2 points (x₁, y₁) (x₂, y₂)
Rise over Run
Any point on a line will ____________ the equation of the line
SATISFY (MAKE THE EQUATION TRUE)
To find the equation of a line between two points, first find the...
Slope
Which form displays the slope and y-intercept?
Slope-intercept form
Any point that makes a linear equation _______ is a point on the graph of the equation
TRUE
Parallel lines have equal slopes. True of False?
True. Parallel lines have the same slope.
If a line passes through the point (0, d) what is the y-intercept of the line?
d
Zero Slope
horizontal line
In a system of equations, the solution is the point where the graphs...
intersect
Positive Slope
line rises from left to right
If the two linear equations in a system have different slopes, how many solutions does the system have?
one
If a line passes through the point (p, 0) what is the x-intercept of the line?
p
Slope
the steepness of a line i.e. RISE over RUN
What is the slope of a vertical line?
undefined
What is the slope-intercept form of a linear equation?
y = mx + b
What is the slope of a horizontal line?
zero