slope intercept form

Front

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

Back

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the y-intercept of a line?

Back

Front

If a line has a slope of 1/3, what does this indicate about its steepness?

Back

A slope of 1/3 indicates that for every 3 units you move horizontally to the right, the line rises 1 unit.

Front

What is the significance of the flat fee in a linear equation for a real-world scenario?

Back

The flat fee represents the y-intercept, indicating the starting cost before any additional charges.

Front

How do you graph a line using the slope-intercept form?

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run to plot additional points.

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

Back

The slope is -1 and the y-intercept is 2.

Front

What is the first step in graphing a linear equation in slope-intercept form?

Back

The first step is to plot the y-intercept on the graph.