Standard Form to Slope-Intercept Form

Front

What does the 'b' stand for in the equation y=mx+b?

Back

The 'b' represents the y-intercept of the line.

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.

Front

How do you convert the equation 3x - 6y = 12 to slope-intercept form?

Back

To convert to slope-intercept form, isolate y: y = (1/2)x - 2.

Front

What is the slope of the line represented by the equation y = -4x + 12?

Back

The slope (m) is -4.

Front

In the equation y = mx + b, what does 'm' represent?

Back

The 'm' represents the slope of the line.

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 can you find the slope from the equation 2y - 4x = 8?

Back

First, isolate y: y = 2x + 4, so the slope is 2.

Front

What does it mean if the slope of a line is positive?

Back

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

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as x increases, y decreases.

Front

How do you determine the y-intercept from the equation y = 3x + 5?

Back

The y-intercept is the value of y when x = 0, which is 5.