Slope and y-Intercept

Front

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

Back

m = (y2 - y1) / (x2 - x1)

Front

Find the slope of the line that passes through (12,-2) and (4, -6).

Back

1/2

Front

What does a slope of 0 indicate about a line?

Back

The line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

The line is vertical.

Front

What is the y-intercept of a line?

Back

The y-coordinate where the line crosses the y-axis.

Front

If a line has a slope of 3, what does this mean in terms of rise and run?

Back

For every 3 units of rise, there is a 1 unit run.

Front

What is the meaning of the y-intercept in a real-world context, such as in a savings account graph?

Back

It represents the initial amount before any deposits or withdrawals.

Front

Calculate the pitch of a roof with a rise of 4.8 meters and a run of 12 meters.

Back

0.4

Front

What is the slope of a line represented by the equation y = 2x + 3?

Back

2

Front

What does a negative slope indicate about a line?

Back

The line decreases as it moves from left to right.