Question

1. Define y-intercept of a line?

2. In the slope intercept form: y=mx+b, what do the variables x, y, m, b stand for?
3. Define Slope of a line. Define Rise and Run. What are the four types of slope?
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Answer 1

1. The y-intercept of a line is on a graph where a line crosses through the y axis.

2. b is the y- intercept and m is the slope. For example something using y=mx+b could be written like y=3x+2 if the y-intercept is 2 and the slope is 3.

3. The slope is what describes the direction and steepness of a line on a graph. Rise and run mean that when you find a slope you must first find the rise over run. You must go from one dot on a graph to the next by first going up or down to where that you are on the same number on the y axis that the next point is, next go on the x axis and go left or right until you have reached the next point. For example if you went up 3 and over 2, the rise would be 3 and the run would be 2. The slope in that situation would be 3/2.

Hope this helps you.

Answer 2

Do the steps below on the graphing calculator:

Graph the points (2,6) and (6,8).

Define the equation y = mx + b.

Define the variable m = 1.

Define the variable b = 10.

What happens if you increase the value of m from 1 to 2?

✔ The line gets steeper.

Find the values of m and b that cause the graph to pass through the two points plotted.

m = ✔ 0.5

b = ✔ 5