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

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 slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation y = mx + b.

Front

Given the points (2, 2) and (3, 4), what is the slope of the line passing through them?

Back

The slope m = (4 - 2) / (3 - 2) = 2.

Front

Write the equation of a line with slope 2 that passes through the point (1, 3).

Back

The equation is y = 2x + 1.

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 does a negative slope indicate?

Back

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

Front

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

Back

Rearrange the equation Ax + By = C to solve for y, resulting in y = (-A/B)x + (C/B).

Front

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

Back

A slope of 0 means the line is horizontal and does not rise or fall.