Slope Slope Slope

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you isolate y in the equation -2x - 4y = -12?

Back

Add 2x to both sides to isolate the term with y.

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, indicating how steep the line is.

Front

What is the first step to convert -x + 4y = 11 into slope-intercept form?

Back

Add x to both sides to isolate the term with y.

Front

How can you determine the slope from the equation y = 4x + 3?

Back

The slope is the coefficient of x, which is 4.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the value of the slope in the equation y = -5x + 2?

Back

The slope is -5.

Front

How do you find the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of b in the equation, which is the point where the line crosses the y-axis.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates.

Front

How do you graph a line given its slope and y-intercept?

Back

Start at the y-intercept on the y-axis, then use the slope to determine the rise over run to plot additional points.