Lesson 4-7

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

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

Back

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

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Write the equation of the line in slope-intercept form through the points (1, 2) and (3, 6).

Back

y = 2x.

Front

Given the slope m = -3 and the point (2, 4), write the equation of the line in slope-intercept form.

Back

y = -3x + 10.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

Write the equation of the line in slope-intercept form through the points (0, 0) and (4, 8).

Back

y = 2x.

Front

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

Back

To convert, solve for y in terms of x, rearranging the equation to the form y = mx + b.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.