LINEAR INEQUALITIES Flashcards
(25 cards)
What is a linear equation?
An equation that makes a straight line when graphed.
True or False: A linear equation can have variables raised to a power greater than one.
False
What is the general form of a linear equation?
y = mx + b
In the equation y = 2x + 3, what is the slope?
2
What does the ‘b’ represent in the equation y = mx + b?
The y-intercept
Fill in the blank: The graph of a linear equation is a _______.
straight line
What is the slope of the line represented by the equation y = -4x + 1?
-4
True or False: The equation 3x + 2y = 6 is a linear equation.
True
What does it mean for two lines to be parallel?
They have the same slope but different y-intercepts.
If a linear equation has no solution, what type of lines does it represent?
Parallel lines
What is the y-intercept of the equation y = 5?
5
In the equation 4x - 2y = 8, what is the value of y when x = 2?
2
What is the term for the point where a line crosses the x-axis?
x-intercept
True or False: The equation y = 0.5x + 1 has a positive slope.
True
What is the slope of a horizontal line?
0
Fill in the blank: The equation of a vertical line can be written as x = _____.
a constant value
If the slope of a line is 3, what is the angle of inclination approximately?
71.57 degrees
What is the formula to find the slope between two points (x1, y1) and (x2, y2)?
(y2 - y1) / (x2 - x1)
What does it mean for a system of linear equations to be consistent?
It has at least one solution.
True or False: The lines represented by the equations y = 2x + 1 and y = -2x + 1 intersect.
True
What is the x-intercept of the equation 2x + 3y = 6?
3
Fill in the blank: The slope-intercept form of a linear equation is written as y = _____ + b.
mx
What is the first step to solve the equation 2x + 3 = 11?
Subtract 3 from both sides.
What is the solution to the equation 5x - 2 = 3?
x = 1
