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 does 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, indicating how steep the line is and the direction it goes.

Front

What does 'b' represent in the slope-intercept form?

Back

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

Front

If the slope 'm' is positive, what does that indicate about the line?

Back

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

Front

If the slope 'm' is negative, what does that indicate about the line?

Back

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

Front

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

Back

The slope is 3.

Front

What is the y-intercept of the line represented by the equation y = -4x + 5?

Back

The y-intercept is 5.

Front

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

Back

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

Front

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

Back

The slope is 2.

Front

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

Back

The y-intercept is 4.