Question

Write an equation for the line , in point slope form that passes through the following. points: (5, - 3) (- 2, 6)

Answer 1

$▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The required equation is :

• $y + 3 = - \dfrac{9}{7} (x - 5)$

$\huge \boxed{ \mathfrak{Explanation}}$

Let's find the slope (m) of the line :

• $\mathrm{ \dfrac{y2 - y1}{x2 - x1} }$

• $\mathrm{ \dfrac{6 - ( - 3)}{ - 2 - 5} }$

• $\dfrac{6 + 3}{ - 7}$

• $- \dfrac{9}{7}$

now, let's find the equation in point slope form :

• $\mathrm{y - y1 = m(x - x1)}$

• $y - ( -3 ) = - \dfrac{ 9}{7} (x - 5)$

• $y + 3 = - \dfrac{ 9}{7} (x - 5)$

or it can be more simplified as :

• $7(y + 3) = - 9(x - 5)$

• $7y + 21 = - 9x + 45$

• $9x + 7y = 45 - 21$

• $9x + 7y = 24$

• $9x + 7y - 24 = 0$

I hope it helped ~