Question

anyone help?? thanks

Answer 1

Answer:

y+3x -7 =0

Step-by-step explanation:

To know the equation of a line a few thing you must have:

i) a known point

ii) it's slope.

We already have two known points now all we need is the slope.

Using these points we get the slope by the following method:

$\\\tt m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Imma take (x1, y1) = (2,1)

and (x2,y2)= (5,-8)

(You can take it in reverse doesn't matters)

Slope (m) =

$\\\tt m = \dfrac{ - 8 - 1}{5 - 2} \\ = \dfrac{ - 9}{3} \\ = - 3$

Now that we have slope,

The equation can be formulated using any one of those points in the following way ( Imma use (x1,y1) )

$\\\tt \frac{y - 1}{x - 2} = - 3 \\ \\\tt \implies y - 1 = - 3x + 6 \\\\\tt \implies y + 3x - 7 = 0$

In case you want to verify the answer plug in the different coordinates values which lie on the line if LHS = RHS (i.e 0) it's correct.