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 'b' represent in the equation y = mx + b?

Back

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

Front

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

Back

y = -3/2x + 3.

Front

What is the slope of the line represented by the equation y = 4x - 7?

Back

The slope is 4.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

Convert the equation 5x - 2y = 10 into slope-intercept form.

Back

y = (5/2)x - 5.

Front

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

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

Convert the equation 2x + 3y = 12 into slope-intercept form.

Back

y = -2/3x + 4.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.

Front

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

Back

y = 1/4x + 2.