Study Guide for Module 2 Topic 2 Test

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x = 0; it represents the point where the line crosses the y-axis.

Front

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

Back

The slope represents the rate of change; for example, in a homework context, it indicates how many minutes it takes to complete each additional homework question.

Front

Convert the equation 8x + y = 8 to slope-intercept form.

Back

The slope-intercept form is y = -8x + 8.

Front

What is the value of the slope in the equation y = 3x + 6?

Back

The slope is 3.

Front

If a line crosses the y-axis at 6, what is the y-intercept?

Back

The y-intercept is 6.

Front

What does the equation y = 2x + 5 indicate about the initial time to start homework?

Back

It indicates that it initially takes 5 minutes to get homework out and start working.

Front

Which variable typically represents the slope in a linear equation?

Back

The variable m represents the slope.

Front

What is the equivalent equation of -2x - 3y = 8 in slope-intercept form?

Back

The equivalent equation is y = -\frac{2}{3}x - \frac{8}{3}.