Standard to Slope Intercept Form

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A and B are not both zero.

Front

What is slope-intercept form?

Back

The slope-intercept form of a linear equation is 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

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 x - 5y = 10 to slope-intercept form.

Back

y = (1/5)x - 2.

Front

Convert the equation x + 5y = -25 to slope-intercept form.

Back

y = - (1/5)x - 5.

Front

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

Back

y = (3/2)x.

Front

Convert the equation 2x + y = 41 to slope-intercept form.

Back

y = -2x + 41.

Front

What is the significance of the coefficients A and B in the standard form?

Back

A and B determine the slope of the line when converted to slope-intercept form.