Convert Slope-Intercept and Standard Forms

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

What does 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, indicating how steep the line is.

Front

What does 'b' represent in the slope-intercept form?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you convert from standard form to slope-intercept form?

Back

To convert from Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers and A is non-negative.

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

The slope is -2/3, found by rearranging to slope-intercept form.

Front

What is the y-intercept of the line 4x - 2y = 8?

Back

The y-intercept is 4, found by setting x = 0 and solving for y.

Front

Which form is easier to graph: slope-intercept or standard form?

Back

Slope-intercept form (y = mx + b) is generally easier to graph because it directly shows the slope and y-intercept.

Front

What is the first step to convert 3x + 4y = 12 to slope-intercept form?

Back

The first step is to isolate y by subtracting 3x from both sides: 4y = -3x + 12.

Front

What is an example of a linear equation in standard form?

Back

An example is 5x + 2y = 10.