Slope intercept form from a graph

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 identify the y-intercept from the slope-intercept form?

Back

Front

If a line has a slope of 3 and a y-intercept of -5, what is the equation of the line?

Back

Front

Back

The slope of the line is -2.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and use the formula: slope = rise/run.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

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 y-intercept is -6.

Front

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

Back

To graph a line using the slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.