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

How do you identify the slope from the equation y = 3/2x + 3?

Back

The slope is the coefficient of x, which is 3/2.

Front

What is the y-intercept of the equation y = -4x + 2?

Back

The y-intercept is (0, 2).

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends steeply from left to right.

Front

How do you convert the equation y = 2x + 5 into slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b.

Front

What is the slope of the line represented by the equation y = 1/2x - 4?

Back

The slope is 1/2.

Front

If the slope of a line is 0, what does this tell you about the line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).