Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What do the variables m and b represent in the slope-intercept form?

Back

In the equation y = mx + b, m represents the slope of the line, and b represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you identify the slope from the equation y = -3x + 7?

Back

The slope is -3.

Front

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

Back

The y-intercept is -1.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the slope of the line represented by the equation y = 5?

Back

The slope is 0, as this is a horizontal line.

Front

How do you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert, solve for y: 3y = -2x + 6, so y = -\frac{2}{3}x + 2.

Front

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

Back

The slope is 1/2.

Front

If the slope of a line is positive, what does that indicate about the direction of the line?

Back

A positive slope indicates that the line rises from left to right.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 2?

Back

The equation is y = 3x + 2.