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 identify the slope in the equation y = 3x + 2?

Back

The slope (m) is 3.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

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

Back

y = - (2/3)x + 2.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope is -4.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

Transform the equation x - 2y = 4 to slope-intercept form.

Back

y = (1/2)x - 2.

Front

What is the significance of a negative slope in a linear equation?

Back

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

Front

Transform the equation 5x + 2y = 10 to slope-intercept form.

Back

y = - (5/2)x + 5.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.