Lines y=mx+b

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 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 does a negative slope indicate about a line's direction?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the meaning of 'rise' and 'run' in the context of slope?

Back

'Rise' refers to the vertical change between two points, while 'run' refers to the horizontal change.

Front

How can you identify a line with a positive slope on a graph?

Back

A line with a positive slope rises from left to right.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

How do you convert the equation from standard form Ax + By = C to slope-intercept form?

Back

To convert, solve for y to get y = (-A/B)x + (C/B).

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2.

Front

If a line has a slope of -1, what does this tell you about its graph?

Back

The line decreases at a 45-degree angle from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.