Graphing Lines Slope-Intercept Form

Front

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

Back

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

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

If the slope of a line is 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

How can you find the y-intercept from the equation y = 3x + 7?

Back

The y-intercept is 7, which is the constant term in the equation.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope of the line is -2.

Front

In the equation y = 5x - 1, what is the y-intercept?

Back

The y-intercept is -1.

Front

What does a positive slope indicate about the direction of a line?

Back

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

Front

What does a negative slope indicate about the direction of a line?

Back

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

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 determine the rise over run.