slope from equation

Front

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

Back

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

Front

How do you identify the slope from the equation y = mx + b?

Back

In the equation y = mx + b, the slope is represented by the coefficient m.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

Front

How can you convert the equation 2y = 6x + 12 into slope-intercept form?

Back

Divide both sides by 2 to get y = 3x + 6, where the slope is 3.

Front

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

Back

The slope of the equation is -5.

Front

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

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0.

Front

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

Back

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