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Which equation represents a line that has a slope of 1/3 and passes through point -2, one

User Lucyna
by
7.6k points

2 Answers

2 votes

Answer: y= 1/3 x + 5/3

Explanation:

1= 1/3(-2) + b where b is the y intercept

1= -2/3 + B

+2/3 +2/3

B = 5/3

so we know the slope and the y- intercept

y= 1/3x + 5/3 check: 1=1/3(-2) +5/3

1 =1

User Scord
by
8.4k points
5 votes

Slope intercept form: y = mx + b

m = slope

b = y-intercept

Since we know the slope and one point, we can solve for the y-intercept.

y = 1/3x + b

1 = 1/3(2) + b

1 = 2/3 + b

1 - 2/3 = 2/3 - 2/3 + b

1/3 = b

Now, put the final equation together.

y = 1/3x + 1/3

Best of Luck!

User Shantanuo
by
8.9k points

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