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

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

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

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.

Front

What is the slope of the line represented by the equation y = 5x - 2?

Back

The slope is 5.

Front

How can you identify the y-intercept from the equation y = -3x + 4?

Back

The y-intercept is 4, which means the line crosses the y-axis at (0, 4).

Front

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

Back

The slope is -1/2.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal.

Front

What is the y-intercept of the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

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

Back

Rearranging gives y = -2/3x + 2.