Converting between slope intercept form and standard 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 in terms of x.

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, indicating 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 -10x + 2y = 14 to slope-intercept form.

Back

y = 5x + 7.

Front

Convert the equation 5x - y = 16 to slope-intercept form.

Back

y = 5x - 16.

Front

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

Back

y = \frac{1}{4}x + \frac{1}{4}.

Front

Convert the equation 10x - 5y = 30 to slope-intercept form.

Back

y = 2x - 6.

Front

What is the standard form of a linear equation?

Back

The standard form is given by the equation Ax + By = C, where A, B, and C are integers.

Front

What is the relationship between slope-intercept form and standard form?

Back

Slope-intercept form (y = mx + b) can be derived from standard form (Ax + By = C) by solving for y.