# Write an equation in point slope form for the line through the point ( 4; -6 ) with the slope m=3/5.

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We want a line such that it has the point ( 4; -6 ) with the slope m=3/5.

The point slope formula is:

y - y1 = m(x - x1) where (x1,y1) is a point on the line, and m is the slope.

Since we have all these values, we can plug into the formula and get an answer.

y + 6 = .6(x - 4)

We'll have to recall the point slope form of the equation of the line:

y - `y_(1)` = m(x - `x_(1)` )

We'll identify the coordinates `x_(1)` and `y_(1)` as 4 and -6 and we'll replace them, along with the value of the slope, within the equation above:

y - (-6) = (3/5)*(x - 4)

y + 6 = 3x/5 - 12/5

y = 3x/5 - 12/5 - 6

y = 3x/5 - 42/5

**The requested equation of the line is y = 3x/5 - 42/5.**