Slope-Intercept Form

Front

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

Back

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

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

If a plumber charges $50 for a house call plus $12 per hour for labor, what is the slope of the cost function?

Back

The slope is 12, representing the cost per hour of labor.

Front

What is the y-intercept of the equation y = 40x + 150?

Back

The y-intercept is 150, indicating the initial amount in the savings account.

Front

How can you express a linear relationship in slope-intercept form?

Back

Identify the slope and y-intercept from the context and write it as y = mx + b.

Front

What is the slope of the equation y = -3x + 4?

Back

The slope is -3.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

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

Front

What is the formula to convert a linear equation from standard form to slope-intercept form?

Back

To convert, solve for y: y = mx + b.