Slope from Equations Practice

Front

What is the slope of the line with the equation 3x - 9y = 18?

Back

The slope is \( \frac{1}{3} \).

Front

What is the slope of a line with the equation y = -x?

Back

The slope is -1.

Front

What is the slope of a line with the equation -3x + 2y = 15?

Back

The slope is \( \frac{3}{2} \).

Front

What is the slope of a line with the equation \( y = -\frac{1}{3}x + 4 \)?

Back

The slope is \( -\frac{1}{3} \).

Front

What is the slope of a line with the equation 8(y - 2) = 4x?

Back

The slope is \( \frac{1}{2} \).

Front

Define slope in the context of a linear equation.

Back

Slope is the measure of the steepness of a line, calculated as the change in y over the change in x (rise over run).

Front

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

Back

The slope-intercept form is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Front

How do you find the slope from the standard form of a linear equation?

Back

Convert to slope-intercept form \( y = mx + b \) or use the formula \( m = -\frac{A}{B} \) from the standard form \( Ax + By = C \).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line.