Linear Functions

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (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.

Front

If a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

What is the y-intercept in the equation y = 3x + 6?

Back

The y-intercept is 6, which is the value of y when x = 0.

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

If m = -5/4, what does this indicate about the line?

Back

The line is decreasing, and for every 4 units increase in x, y decreases by 5 units.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 6?

Back

The equation is y = 3x + 6.

Front

How can you identify the slope from the equation Ax + By = C?

Back

Rearrange to slope-intercept form (y = mx + b) to find the slope (m).

Front

What does a slope of 0 indicate about a line?

Back

The line is horizontal and does not change in y as x changes.