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 (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

y = (5/3)x + 3.

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

y = (5/3)x - 4.

Front

What is the slope of the line represented by the equation 3x - 6y = 12?

Back

The slope is 1/2.

Front

Identify the slope in the equation y = -2x + 5.

Back

The slope is -2.

Front

Identify the y-intercept in the equation y = 4x - 1.

Back

The y-intercept is -1.

Front

What is the first step to isolate y in the equation 2x + 3y = 6?

Back

Subtract 2x from both sides: 3y = -2x + 6.