Graphing Using Slope-Intercept Form

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

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How do you identify the slope from the equation y = 3/2x + 3?

Back

The slope is the coefficient of x, which is 3/2.

Front

What is the y-intercept of the equation y = 3/2x + 3?

Back

The y-intercept is 3, represented as the point (0, 3).

Front

In the equation y = -x + 4, what is the slope?

Back

The slope is -1.

Front

In the equation y = -x + 4, what is the y-intercept?

Back

The y-intercept is 4, represented as the point (0, 4).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

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

Back

Start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to find another point.

Front

What is the slope of the line represented by the equation y = 2x - 5?

Back

The slope is 2.