Slope Review 2

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 from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line, where y remains constant as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where x remains constant as y changes.

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

y = -4 + (5/3)x.

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope is 4.

Front

If a line has a slope of 7/5, what does this mean in terms of rise over run?

Back

For every 7 units the line rises, it runs 5 units to the right.

Front

What is the y-intercept in the equation y = -4 + (5/3)x?

Back

The y-intercept is -4.