Which equation represents a line that passes through (2. - 1/2) and has a slope of 3?

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

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

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

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

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altavistard altavistard · Answer 1 · 2020-06-07T06:11:44+02:00

Answer:

y + 1/2 = 3(x - 2) This matches the 3rd answer choice.

Step-by-step explanation:

Use the point-slope formula for the equation of a straight line that passes through the point (h, k) and has a slope of m:

y - k = m(x - h) becomes:

y + 1/2 = 3(x - 2) This matches the 3rd answer choice.

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jainveenamrata jainveenamrata · Answer 2 · 2022-07-13T14:17:14+02:00

The equation of the line will be y + 1/2 = 3(x – 2). Then the correct option is C.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope is 3. Then the equation of line will be

y = 3x + c

If the equation is passing through (2, -1/2). Then we have

-1/2 = 3(2) + c

c = -6 - 1/2

Then the equation will be

y = 3x – 6 – 1/2

y + 1/2 = 3(x – 2)

Then the correct option is C.

More about the equation of line link is given below.

https://brainly.com/question/21511618

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