FINAL EXAM Unit 2B

Front

Write the equation for the linear function in STANDARD form given the number of vans (x) and buses (y) for 360 students.

Back

8x + 12y = 360

Front

What is the equation of the line of best fit for the distance remaining in relation to time for bicyclists?

Back

y = -25x + 170

Front

What is the slope that is perpendicular to m = 5/8?

Back

-8/5

Front

Write the equation of a line PERPENDICULAR to y = 3x + 2 that passes through the point (9, -2).

Back

y = -1/3x + 1

Front

If hats are $10 each and gloves are $5 each for a total of $30, how many hats can you buy if you got 2 sets of gloves?

Back

2 hats

Front

Define a linear equation.

Back

An equation that models a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

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 significance of the y-intercept in a linear equation?

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.