Equation of a Line from a Graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

What does 'rise' refer to in the context of slope?

Back

'Rise' refers to the vertical change between two points on a line.

Front

What does 'run' refer to in the context of slope?

Back

'Run' refers to the horizontal change between two points on a line.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

If a line has a slope of 3, what does this indicate about its steepness?

Back

A slope of 3 indicates that for every 1 unit of horizontal change (run), the line rises 3 units vertically.

Front

What is the slope of a line that goes down from left to right?

Back

The slope of a line that goes down from left to right is negative.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.