Standard form to slope intercept

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 convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of the line represented by the equation y = -1/2x + 2?

Back

The slope is -1/2.

Front

What is the y-intercept of the equation y = (5/3)x + 3?

Back

The y-intercept is 3.

Front

How do you find the x-intercept of a linear equation?

Back

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

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is (8, 0).

Front

What does the slope of a line represent?

Back

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

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

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

Front

What is the slope of the line represented by the equation -6x - 2y = 9?

Back

The slope is -3.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.