8.EE.6

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of the line represented by the equation y = 0.5x + 1?

Back

The slope of the line is 0.5.

Front

How can you identify the y-intercept from the equation y = 2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

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.

Front

How do you graph the equation y = 2x + 5?

Back

Start at the y-intercept (0, 5) and use the slope (2) to find another point: from (0, 5), go up 2 units and right 1 unit to (1, 7).