Identifying Slope and Y Intercept

Front

What is the definition of slope?

Back

The slope is a measure of the steepness of a line, calculated as the ratio of the rise (change in y) to the run (change in x).

Front

What is the formula to calculate slope from two points (x1, y1) and (x2, y2)?

Back

The formula is: Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

How do you find the y-intercept from a table of values?

Back

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

Front

If a line has a slope of 2, what does this mean in terms of rise and run?

Back

It means for every 2 units the line rises, it runs 1 unit horizontally.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.

Front

What is the y-intercept of the equation y = 4x - 1?

Back

The y-intercept is -1.

Front

How do you calculate the slope using rise/run from a graph?

Back

Count the vertical change (rise) and the horizontal change (run) between two points on the line.