Unit 5 Algebra Test Review

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation of a line y = mx + b.

Front

What does the variable 'b' represent in the equation of a line?

Back

In the equation of a line y = mx + b, 'b' represents the y-intercept.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (1, -2) and (-2, 7)?

Back

The slope is -3.

Front

What is the y-intercept of the equation 6x - y = -3?

Back

The y-intercept is (0, 3).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line is increasing from left to right.

Front

What is the formula for the slope-intercept form of a line?

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the meaning of the y-intercept in a real-world context?

Back

The y-intercept represents the initial value of a dependent variable when the independent variable is zero.

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.