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 an equation from standard form to slope-intercept form?

Back

To convert, solve for y in terms of x, isolating y on one side of the equation.

Front

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

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 the slope-intercept form?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

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

Back

y = 1/2x - 9.

Front

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

Back

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

Front

Convert the equation 5x - 3y = -9 to slope-intercept form.

Back

y = (5/3)x + 3.

Front

Find the slope of the equation 3x - 6y = 12 after isolating y.

Back

Slope: 1/2.

Front

Which of the following represents slope-intercept form?

Back

y = mx + b.

Front

What is the significance of the slope being positive?

Back

A positive slope indicates that as x increases, y also increases.