Algebra Review SM1-Part 2

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) is calculated using the formula 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, indicating how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

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

Front

How do you multiply two binomials, such as (a + b)(c + d)?

Back

Use the distributive property (FOIL method): ac + ad + bc + bd.

Front

What is the product of (4x + 2)(2x - 2)?

Back

The product is 8x² - 4x - 4.

Front

What is the definition of rate of change in mathematics?

Back

Rate of change refers to how much a quantity changes in relation to another quantity, often represented by the slope of a line.

Front

What is the relationship between rate of change and slope?

Back

Rate of change is another term for slope, indicating how one variable changes in relation to another.

Front

How do you convert the equation y = 12x - 19 into slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope is 12 and the y-intercept is -19.

Front

What is the slope of the line represented by the equation y = 5x - 8?

Back

The slope of the line is 5.