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 slope (m) of a line represent?

Back

The slope (m) of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means it rises, negative slope means it falls).

Front

How do you find the slope between 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 a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of y when x = 0.

Front

Convert the equation 4x - 2y = 18 to slope-intercept form.

Back

y = 2x - 9.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis. It is represented by the value of x when y = 0.

Front

How do you determine if a linear equation is in slope-intercept form?

Back

A linear equation is in slope-intercept form if it can be expressed as y = mx + b, where m and b are constants.

Front

What is the equation of a line with slope m = 3 that passes through the point (1, 2)?

Back

y = 3x - 1.

Front

What does it mean for two lines to be parallel?

Back

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