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find the main equation of the line that passes through the point 3 4 whose slope is 3

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Find the main equation of the line that passes through the point (3,-4) whose slope is 3

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Answer to a math question Find the main equation of the line that passes through the point (3,-4) whose slope is 3

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Given a point (3, -4) and a slope \( m = 3 \), we can use the point-slope form of the equation of a line, which is

y - y_1 = m(x - x_1)

Substituting \( x_1 = 3 \), \( y_1 = -4 \), and \( m = 3 \) into the equation, we get:

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

Simplify the equation:

y + 4 = 3x - 9

Subtract 4 from both sides to isolate \( y \):

y = 3x - 13

Therefore, the main equation of the line is:

y = 3x - 13

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