Graphing 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 (upward or downward).

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. The y-intercept is the point where the line crosses the y-axis.

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing linear equations as y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert the equation y + 2 = -3(x - 5) to slope-intercept form.

Back

y = -3x + 13.

Front

What is the y-intercept of the equation y = -3x + 7?

Back

The y-intercept is 7.

Front

What does the term 'x-intercept' mean?

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

How do you graph a linear equation?

Back

To graph a linear equation, find at least two points that satisfy the equation and plot them on a coordinate plane, then draw a straight line through the points.

Front

What is the significance of the coefficient of x in the equation y = mx + b?

Back

The coefficient of x (m) represents the slope of the line, indicating how much y changes for a unit change in x.

Front

If the slope of a line is 0, what does that mean?

Back

If the slope is 0, the line is horizontal, meaning there is no change in y as x changes.