Question

write an equation in point slope form from the line through the given point with the given slope (-3,-5);m=-2/5​

Answer 1

Answer: 5y + 2x = -31

Step-by-step explanation:

The equation of a line in point- slope form is given as :

y - $y_{1}$ = m ( x- $x_{1}$ )

$x_{1}$ = -3

$y_{1}$ = -5

m = $\frac{-2}{5}$

Substituting into the formula , we have

y - ( - 5) =  $\frac{-2}{5}$ (x - {-3} )

y + 5 =  $\frac{-2}{5}$ ( x + 3 )

5 ( y + 5 ) = -2 ( x+ 3)

5y + 25 = -2x - 6

5y + 2x = -31