Answer:
3x-5y = 26
Explanation:
We have a point and a slope
Point slope form a line is given by
y-y1 = m(x-x1)
y--4 = 3/5 (x-2)
y+4 = 3/5( x-2)
We want it in slope intercept form (y=mx+b)
Distribute the 3/5
y+4 = 3/5 x-6/5
Subtract 4 from each side
y+4-4 = 3/5x -6/5 -4
Get a common denominator for the constant terms
y = 3/5x -6/5 -20/5
y = 3/5x -26/5
Multiply each side by 5
5y = 3/5x *5 -26/5 *5
5y = 3x-26
Subtract 3x from each side
-3x+5y = -26
We usually want the x term to be positive
Multiply by -1
3x-5y = 26
This is standard form for a line