Standard Form to 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 convert from standard form to slope-intercept form?

Back

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

Front

Convert the equation 4x - 3y = 15 into slope-intercept form.

Back

y = (4/3)x - 5

Front

Convert the equation -2x + 8y = 2 into slope-intercept form.

Back

y = (1/4)x + (1/4)

Front

Convert the equation 3x - 2y = 0 into slope-intercept form.

Back

y = (3/2)x

Front

What is the first step to convert 2x + 4y = 8 into slope-intercept form?

Back

Subtract 2x from each side.

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

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

Back

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

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.