CC3 Ch 3

Front

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

Back

Slope, which indicates the rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = 4x + 2?

Back

2, which is the value of y when x = 0.

Front

If you have an equation y = 3x + 7, what is the growth rate?

Back

3, which indicates that for every 1 unit increase in x, y increases by 3 units.

Front

What is the equation for a line with a slope of 2 and a y-intercept of -1?

Back

y = 2x - 1.

Front

How do you find the value of y when x = 5 in the equation y = 2x + 3?

Back

Substitute x with 5: y = 2(5) + 3 = 10 + 3 = 13.

Front

What is the process to solve for x in the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Front

In the equation y = -x + 4, what does the negative sign indicate about the slope?

Back

It indicates that the line is decreasing; as x increases, y decreases.

Front

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

Back

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

Front

If the equation of a line is y = 5x + 10, what is the y-intercept?

Back

10, which is the point where the line crosses the y-axis.

Front

What does it mean to 'undo' addition in mathematics?

Back

It means to perform subtraction.