Graphing Lines

Front

What is the slope-intercept form of a line?

Back

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

Front

What do you plot first when graphing a line in slope-intercept form?

Back

You plot the y-intercept first.

Front

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

Back

The y-intercept is (0, 3).

Front

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

Back

The slope is the coefficient m in the equation.

Front

What does the slope represent in a graph?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

The slope is -1.

Front

How do you find the x-intercept of a line?

Back

To find the x-intercept, set y = 0 and solve for x.

Front

What is the equation of a line with a slope of ⅗ and a y-intercept of -1?

Back

The equation is y = ⅗x - 1.

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.