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

Front

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

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 the slope-intercept form?

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

Back

y = -2x + 41.

Front

Convert the equation 3x + y = 12 to slope-intercept form.

Back

y = -3x + 12.

Front

Convert the equation x + y = -1 to slope-intercept form.

Back

y = -x - 1.

Front

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

Back

y = -1/5x - 5.

Front

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

Back

y = x - 2.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent speed, growth rate, or any other rate of change in real-world scenarios.