Test 2.3 Review

Front

What is the equation of the line with a slope of -\frac{2}{5} and a y-intercept of -2?

Back

y = -\frac{2}{5}x - 2

Front

What does it mean if a relationship is proportional?

Back

A proportional relationship means that the two quantities have a constant ratio and the graph passes through the origin.

Front

What does it mean if a relationship is nonproportional?

Back

A nonproportional relationship means that the two quantities do not have a constant ratio and the graph does not pass through the origin.

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

The y-intercept is 4.

Front

How do you determine the slope of a line from its equation in the form y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What is the slope of the line represented by the equation y = \frac{2}{5}x + 2?

Back

The slope is \frac{2}{5}.

Front

If a person walks back home from a point 10 blocks away at a rate of 2 blocks per minute, what type of relationship does this represent?

Back

Nonproportional, because they did not start at the origin.

Front

If Sofia completes 4 problems per minute consistently, what type of relationship does this represent?

Back

Proportional, because she completes the same number of problems every minute.

Front

What is the general form of a linear equation?

Back

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

Front

How can you find the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.