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Identify the slope and y-intercept of the equation:
y=1/3x+2

2 Answers

1 vote

EZ Answer: Slope = 1/3x, y-intercept = 2

Explanation:

The equation was already given to you in slope intercept form. All you needed to do was look at the term with x. The value of the term with x is your slope (for slope-intercept form). Then, the one without x is your y-intercept (2).

6 votes

Answer:

slope = 1/3

y intercept = 2

=================================================

Reason:

The equation fits the format of y = mx+b

m = 1/3 = slope

b = 2 = y intercept

One point on the line is (0,2) which is the location of the y intercept. This is where the line crosses the y axis. Move up 1 unit, then 3 units right, and you'll arrive at (3,3) which is another point on the line.

The motion "up 1, right 3" is from the slope 1/3

rise/run = 1/3

rise = 1 = move up 1

run = 3 = move right 3

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