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

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

Back

'm' represents the slope of the line, indicating the steepness and direction of the line.

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

Convert the equation 2x + 3y = 6 to slope-intercept form.

Back

y = -2/3x + 2.

Front

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

Back

y = 4x - 8.

Front

How do you isolate 'y' in the equation Ax + By = C?

Back

To isolate 'y', rearrange the equation to the form By = -Ax + C, then divide by B.

Front

What is the first step to convert 5x - 3y = -9 to slope-intercept form?

Back

Subtract 5x from both sides to get -3y = -5x - 9.

Front

If the slope of a line is 3, what is the equation of the line in slope-intercept form if it passes through the point (0, 2)?

Back

y = 3x + 2.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

What is the y-intercept of the line represented by the equation y = 1/2x - 3?

Back

The y-intercept is -3.