Semester Exam Review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (1, -8) and (-3, 0)?

Back

The slope is -2.

Front

What is the general form of the equation of a line?

Back

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

Front

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

Back

The equation is y = 2x - 1.

Front

How do you solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then solve for x to find x = 5.

Front

Back

The solution is x = 5.

Front

Back

Cross-multiply to get 3(n - 2) = 7(n + 1), then solve for n to find n = -3.25.

Front

Back

The solution is n = -3.25.

Front

What is the method to find the equation of a line from a table of values?

Back

Identify the slope (change in y/change in x) and the y-intercept from the table.

Front

Which equation matches the table of values where y increases by 4 for every increase of 1 in x?

Back

The equation is y = 4x + 3.