4-1 to 4-2 Algebra Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in y divided by the change in x (rise/run).

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 an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero in the slope formula.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is given by the equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert a point-slope equation to slope-intercept form?

Back

To convert, solve for y: y = mx + (y1 - mx1).

Front

What is direct variation?

Back

Direct variation describes a relationship where y = kx, where k is a constant. As x increases, y increases proportionally.

Front

If y varies directly with x and y = 39 when x = 3, what is the constant of variation (k)?

Back

k = y/x = 39/3 = 13.

Front

How do you find y when x = 2 in a direct variation where k = 13?

Back

Using y = kx, y = 13 * 2 = 26.

Front

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

Back

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

Front

How do you write the equation of a line given a point and a slope?

Back

Use point-slope form: y - y1 = m(x - x1).