Algebra I: Unit 5, Linear Equations Review

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 of a line represent?

Back

The slope 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 or negative).

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 in the equation and solving for x.

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, meaning they will never intersect.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is in the form x = a, where 'a' is the x-coordinate of any point on the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is in the form y = b, where 'b' is the y-coordinate of any point on the line.

Front

How do you determine if a slope is undefined?

Back

A slope is undefined when the line is vertical, meaning it goes straight up and down, and cannot be expressed as a ratio of rise over run.

Front

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

Back

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

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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