Graphing from slope-intercept form

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in the equation y = 4x + 3?

Back

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

Front

What does the y-intercept represent in a graph?

Back

The y-intercept represents the point where the line crosses the y-axis.

Front

How can you find the y-intercept from the equation y = -2x + 5?

Back

The y-intercept is the constant term, which is 5.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

How do you convert the slope from a fraction to a slope-intercept form?

Back

If the slope is given as a fraction rise/run, you can express it in the form y = mx + b by identifying m as the slope.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between two variables in a real-world scenario.

Front

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

Back

Start at 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 is the slope of the line represented by the equation y = 7x - 1?

Back

The slope is 7.