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Which of the following is a line through the point (-1, 2) with a slope of -3/4? Please hurry

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Answer:

To find the line through the point (-1, 2) with a slope of -3/4, we can use the point-slope form of a linear equation. The point-slope form is given by:

y - y1 = m(x - x1)

Where (x1, y1) represents the coordinates of the given point and m represents the slope of the line.

In this case, the given point is (-1, 2) and the slope is -3/4. Plugging these values into the point-slope form, we get:

y - 2 = (-3/4)(x - (-1))

Simplifying further:

y - 2 = (-3/4)(x + 1)

Now, let's expand the equation:

y - 2 = (-3/4)x - 3/4

To isolate y, we can add 2 to both sides of the equation:

y = (-3/4)x - 3/4 + 2

Simplifying further:

y = (-3/4)x + (8/4) - (3/4)

Combining like terms:

y = (-3/4)x + 5/4

Therefore, the equation of the line through the point (-1, 2) with a slope of -3/4 is y = (-3/4)x + 5/4.

Explanation:

User Gbanfill
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