What is the equation of the line that passes through the point (3,-5)(3,−5) and has a slope of \frac{2}{3}

y = 2/3x - 7.

Step-by-step explanation:

Using the point-slope form of a straight line:

y - y1 = m (x - x1) so we have

y -(-5) ) = 2/3 (x - 3)

y + 5 = 2/3x - 2

y = 2/3x - 7.

y = 2/3x -7

Step-by-step explanation:

We know the equation of a line is

y = mx+b where m is the slope and b is the y intercept

y = 2/3 x +b

Substitute the point into the equation

-5 = 2/3 (3)+b

-5 = 2+b

Subtract 2 from each side

-7 = b

The equation of the line

y = 2/3x -7

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