y=mx+b from Tables

Front

What is the slope (m) in the equation y=mx+b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation y=mx+b?

Back

The y-intercept (b) is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

Write a linear equation in the form of y=mx+b for a slope of 2 and a y-intercept of 5.

Back

y = 2x + 5

Front

Write a linear equation in the form of y=mx+b for a slope of -1 and a y-intercept of 4.

Back

y = -1x + 4 or y = -x + 4

Front

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

Back

For every 3 units the line rises, it runs 1 unit to the right.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

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