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 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 the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you graph the equation y = mx + b?

Back

To graph y = mx + b, start at the y-intercept (0, b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

What does it mean if a line has a slope of 0?

Back

A line with a slope of 0 is horizontal, meaning that the y-value remains constant regardless of the x-value.

Front

What does it mean if a line has an undefined slope?

Back

A line with an undefined slope is vertical, meaning that the x-value remains constant regardless of the y-value.

Front

How do you convert the equation 2x - y = 4 to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: y = 2x - 4.

Front

What is the y-intercept of the line y = -4?

Back

The y-intercept of the line y = -4 is -4, meaning the line crosses the y-axis at (0, -4).

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