Algebra 1 Unit #4 Bonus

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as a fraction (rise/run).

Front

How do you solve for y in the equation -4x + 12y = -36?

Back

To solve for y, rearrange the equation to isolate y: y = \frac{1}{3}x - 3.

Front

What does a solid boundary line indicate in a graph?

Back

A solid boundary line indicates that the points on the line are included in the solution set.

Front

What is the y-intercept of the equation 9x + 3y = -18?

Back

The y-intercept is (0, -6).

Front

If a car covers 102 km in 6.8 litres of petrol, how do you find the distance covered in 24.2 litres?

Back

Use the ratio: (102 km / 6.8 litres) = (x km / 24.2 litres). Solve for x to find the distance.

Front

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

Back

The slope (m) is calculated as m = \frac{y2 - y1}{x2 - x1}.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What does the term 'y-intercept' refer to?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

Rearrange the equation to solve for y: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the fraction in slope?

Back

The fraction represents the ratio of vertical change to horizontal change between two points on a line.