Slope & 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

How do you convert the standard form equation x + 5y = -25 into slope-intercept form?

Back

To convert, solve for y: y = -1/5x - 5.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the slope of the equation 12x - 6y = 30?

Back

The slope is 2.

Front

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

Back

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

Front

What is the first step to solve for slope-intercept form in the equation -x + 4y = 11?

Back

The first step is to add x to both sides.

Front

Which operation is needed to isolate y in the equation -2x - 4y = -12?

Back

You need to add 2x to both sides.

Front

What does 'm' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line.

Front

What does 'b' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

If a line has a slope of 1/2, what does this indicate about the line's steepness?

Back

A slope of 1/2 indicates that for every 2 units you move horizontally, the line rises 1 unit vertically.