Graphing Lines

Front

What is the Slope-Intercept Form of a linear equation?

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept (b) in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0.

Front

How do you identify a horizontal line from its equation?

Back

A horizontal line has the form y = k, where k is a constant.

Front

How do you identify a vertical line from its equation?

Back

A vertical line has the form x = k, where k is a constant.

Front

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

Back

The slope is 2.

Front

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

Back

The y-intercept is 7.

Front

How do you convert the equation y = 2/3x - 3 into standard form?

Back

Multiply by 3 to get 3y = 2x - 9, then rearrange to 2x - 3y = 9.

Front

What is the slope of a line that is perpendicular to a line with a slope of 4?

Back

The slope of the perpendicular line is -1/4.

Front

If a line passes through the points (1, 2) and (3, 6), what is its slope?

Back

The slope is (6 - 2) / (3 - 1) = 2.