8.4C: Slope and Y-Intercept

Front

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

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0; it indicates where the line crosses the y-axis.

Front

How do you identify the slope from the equation y = 4x + 3?

Back

The slope is 4, which means for every 1 unit increase in x, y increases by 4 units.

Front

What is the equation of a line with a slope of -2 and a y-intercept of 5?

Back

The equation is y = -2x + 5.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning y does not change as x changes.

Front

What is the slope of the line represented by the equation y = -x + 1?

Back

The slope is -1.

Front

How can you find the y-intercept from a table of values?

Back

Look for the value of y when x = 0; that value is the y-intercept.

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 does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What is the equation of a line with a slope of 1/2 and a y-intercept of -3?

Back

The equation is y = (1/2)x - 3.