How do you find slope and intercepts to graph $- 3 x - 5 y = 6$ $-3x-5y=6$ ?

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Answer 1 · 2015-11-04T00:35:28

Slope $= - \frac{3}{5}$ $=-3/5$
Y-Intercept $= - \frac{6}{5}$ $=-6/5$

The question cannot be $- 3 y - 5 y = 6$ $-3y -5y = 6$ .

So I changed it to $- 3 x - 5 y = 6$ $-3x -5y = 6$ .

But the principle you are going to apply is the same.

The given equation $- 3 x - 5 y = 6$ $-3x -5y = 6$ . is in the form of

$a x + b y = c$ $ax +by=c$

In such case the the formula to find slope is $m = - \frac{a}{b}$ $m=-a/b$

We shall apply this in our problem

$m = - \frac{- 3}{- 5} = - \frac{3}{5}$ $m=-(-3)/(-5)=-3/5$

To find the y-intercept, put $x = 0$ $x=0$ and solve the equation

At $x = 0; - 3 (0) - 5 y = 6$ $x=0; -3(0)-5y=6$
$- 5 y = 6$ $-5y=6$
$y = - \frac{6}{5}$ $y=-6/5$

How do you find slope and intercepts to graph −3x−5y=6-3x-5y=6?