Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the 'm' represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

The 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

What does the 'b' represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y = 3x + 4?

Back

The y-intercept is 4.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the equation of a line that passes through the point (0, 3) and has a slope of 2?

Back

The equation is y = 2x + 3.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.