Math 8 EOG Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, 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

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

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of the line y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

If a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

What is the equation of a line that passes through the points (1, 2) and (3, 6)?

Back

The equation is y = 2x.

Front

How do you determine which line has a greater rate of change?

Back

Compare the slopes of the lines; the line with the greater slope has a greater rate of change.

Front

What is the total cost function for a service that charges a flat fee plus a variable rate?

Back

Total cost (y) = fixed cost + (variable rate * number of units).

Front

If the total cost is modeled by y = 1.5x + 20, what does 1.5 represent?

Back

1.5 represents the variable cost per ride.

Front

How do you solve for x in the equation y = 1.5x + 20 when y = 23?

Back

Set 23 = 1.5x + 20, then solve for x: x = (23 - 20) / 1.5 = 2.