Slope-Intercept & Point-Slope 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

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What does 'm' represent in the slope-intercept form y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does 'b' represent in the slope-intercept form y = mx + b?

Back

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

Front

How can you determine 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).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a positive slope, what does that indicate about its direction?

Back

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

Front

If a line has a negative slope, what does that indicate about its direction?

Back

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

Front

How do you find the y-intercept from a linear equation in slope-intercept form?

Back

The y-intercept is the value of y when x = 0.