Graphing Lines (slope-intercept)

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the rise (vertical change) to the run (horizontal change).

Front

In the slope-intercept form of a line (y=mx+b), what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the slope-intercept form of a line (y=mx+b), what does 'b' represent?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you find the y-intercept of a line given its equation?

Back

To find the y-intercept, set x=0 in the equation and solve for y.

Front

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

Back

The y-intercept is 4.

Front

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

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.

Front

How do you graph a line using slope-intercept form?

Back

First, plot the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2, calculated as (7-3)/(4-2).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.