U4 Slope Intercept Form Review

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

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

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If a line has a slope of -2/5, what does this tell you about the line's direction?

Back

A slope of -2/5 indicates that the line falls as it moves from left to right.

Front

What is the y-intercept in the equation y = 120 - 25x?

Back

The y-intercept is 120, which is the value of y when x = 0.

Front

How can you interpret the equation y = 120 - 25x in a real-world context?

Back

It can represent a situation where there are 120 gallons of water in a tank, and it releases water at a rate of 25 gallons per minute.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x.

Front

How do you determine if a line is increasing or decreasing based on its slope?

Back

If the slope is positive, the line is increasing; if negative, the line is decreasing.

Front

What is the formula to convert a point-slope form to slope-intercept form?

Back

Start with y - y1 = m(x - x1) and solve for y to get y = mx + (y1 - mx1).