Graphing Lines Review

Front

What is the slope-intercept form of a line?

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

What does 'm' represent in the equation y=mx+b?

Back

'm' represents the slope of the line, which indicates the steepness and direction of the line.

Front

What does 'b' represent in the equation y=mx+b?

Back

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

Front

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

Back

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

Front

What is the y-intercept of the line with the equation y = -2x + 4?

Back

The y-intercept is 4.

Front

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

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units.

Front

What is the slope of the line represented by the equation y = -rac{2}{3}x + 4?

Back

The slope of the line is -rac{2}{3}.

Front

How do you graph the line y = -rac{2}{3}x + 4?

Back

Start at the y-intercept (0, 4) and use the slope -rac{2}{3} to find another point by going down 2 units and right 3 units.

Front

What is the rise/run method for finding slope?

Back

The rise/run method involves calculating the vertical change (rise) over the horizontal change (run) between two points on the line.

Front

Find the slope of the line that passes through the points (1, 2) and (4, 5).

Back

The slope is (5 - 2) / (4 - 1) = 3/3 = 1.