Graphing 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 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 slope from a linear equation in slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope is the coefficient m of x.

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 b in the slope-intercept form y = mx + b.

Front

What is the slope of the equation y = 2x + 3?

Back

The slope is 2.

Front

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

Back

The y-intercept is 4.

Front

How do you graph the equation y = 3x - 1?

Back

Start at the y-intercept (0, -1), then use the slope (3) to rise 3 units up and run 1 unit to the right to find another point.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 2?

Back

The equation is y = -x + 2.

Front

How do you determine if a graph represents a linear equation?

Back

A graph represents a linear equation if it forms a straight line.

Front

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

Back

The slope is -2.