Question

indicate in standard form the equation of the line passing through the given point and having the given slope d(5,2) m=(2/5)

Answer 1

for this, we need point slope formula..
y - y1 = m(x - x1)
(5,2) x1 = 5 and y1 = 2
slope(m) = 2/5
now we sub
y - 2 = 2/5(x - 5) -- distribute through the parenthesis
y - 2 = 2/5x - 2 -- add 2 to both sides
y = 2/5x - 2 + 2
y = 2/5x + 0

standard form : Ax + By = C
y = 2/5x + 0 -- no fractions, so multiply by 5
5y = 2x + 0 -- subtract 2x from both sides
-2x + 5y = 0 -- multiply by -1 to make x positive
2x - 5y = 0 ==> standard form