Standard Form 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 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 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, represented as (0, b).

Front

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

Back

y = x + 12.

Front

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

Back

y = (-1/3)x + 4.

Front

Convert the equation -x + 8y = 32 to slope-intercept form.

Back

y = (1/8)x + 4.

Front

Determine the slope and y-intercept from the equation 4x + y = -10.

Back

Slope: -4, Y-intercept: (0, -10).

Front

Convert the equation 4x - 8y = 72 to slope-intercept form.

Back

y = (1/2)x - 9.

Front

What is the significance of the slope in a real-world context?

Back

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