Standard Form to Slope Intercept Form

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is expressed as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

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 in terms of x.

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

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

Back

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

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

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

Back

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

Front

What is the slope of the line represented by the equation 4x + 2y = 8?

Back

The slope is -2, after converting to slope-intercept form: y = -2x + 4.

Front

What is the y-intercept of the line represented by the equation 5x - 3y = 15?

Back

The y-intercept is -5, after converting to slope-intercept form: y = (5/3)x - 5.