Slope
The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
In the equation y = mx + b, what does "b" represent?
Y-intercept
Solve for x: 3x + 7 = 16.
How many solutions can a consistent and independent system of linear equations have?
One
What does the slope of a line on graph represent?
The rate of change or steepness
If a line goes uphill from left to right, what is the sign of its slope?
Positive
If a line crosses the y-axis at (0, 7), what is the y-intercept?
7
What is the solution to the equation 2y - 5 = 7?
y = 6
What is the term for a system of equations with no solution?
Inconsistent
If a line on a graph is vertical, what does it imply about its equation?
What is the slope of a vertical line?
Undefined
What is the y-intercept of a horizontal line?
The y-coordinate of any point on the line.
Simplify the expression: 4(x+2)−3=5x
x = -7
True of False - A linear system of four equations in three unknowns is always inconsistent.
Sketch the graph of this equation y = 2x - 3
A straight line passing through the point (0, -3) with a slope of 2.
If two lines are parallel, how do their slopes compare?
They have the same slope.
If the equation of a line is y = -2x + 3, what is its y-intercept?
3
Solve the equation 2/3x - 5 = 1
x = 12
In a consistent and dependent system, how many solutions does it have?
Infinitely
What does the x-coordinate of the point where a line crosses the x-axis represent on a graph?
The x-intercept.
True or False - y = mx + b is the slope intercept form of a linear equation
True
If 2x + 3y = 10, what is the value of y when x = 4?
y=2
True or False - A linear system with fewer equations than unknowns must have infinitely many solutions.
False
If two lines have the same slope and different y-intercepts, how do they appear on a graph?
They are parallel lines.