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Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3?

Which equation shows the point-slope form of the line that passes through (3, 2) and-example-1
User Or Gal
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1 Answer

2 votes

Answer:

Option 2:
y - 2 = (1)/(3)(x-3) is the correct answer.

Explanation:

The equation of a line with given point(x1,y1) and slope m is given by:


y-y_1 = m(x-x_1)

The line passes through (x1,y1)

Given


(x_1,y_1) = (3,2)\\m = (1)/(3)

=> x1 = 3

=> y1 = 2

Putting the values of x1, y1 and slope(m) in the point-slope form, the equation of line is:


y - 2 = (1)/(3)(x-3)

Hence,

Option 2:
y - 2 = (1)/(3)(x-3) is the correct answer.

User MishaU
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