Standard Form to 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

How do you convert an equation from standard form to slope-intercept form?

Back

To convert, solve for y in the equation Ax + By = C to get y = mx + b.

Front

What does the slope (m) represent in the slope-intercept form?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept (b) in the slope-intercept form?

Back

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

Front

Convert the equation 3x + 2y = 6 to slope-intercept form.

Back

y = -3/2x + 3.

Front

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

Back

The slope is 5.

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 first step to isolate y in the equation 4x + 2y = 8?

Back

Subtract 4x from both sides.

Front

Convert the equation 2x - 3y = 9 to slope-intercept form.

Back

y = 2/3x - 3.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.