Semester 1 Final Practice #1

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 over run).

Front

How do you find the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It can be found by setting x = 0 in the equation of the line.

Front

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

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

Solve the equation: 7x - 4 = 3 + 8x

Back

x = -7

Front

What is the solution to the equation 8v - 4(v + 8) = -6v + 8?

Back

v = 4

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is the slope of the line that passes through the points (-3, 4) and (-1, -2)?

Back

The slope is -3.

Front

What does it mean for a slope to be negative?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the y-intercept of the line with the equation y = -rac{5}{3}x + 2?

Back

The y-intercept is 2.