Question

write an equation of the line through (6,-2) and (-3,1)

Answer 1

$\underline {Find \ the \ slope:}$

$\Bigg( Slope = \frac{y_2-y_1}{x_2-x_1} \Bigg)$

$Slope = \frac{1-(-2)}{-3-6}$

$Slope = - \frac{1}{3}$

$\Bigg(Equation: y = mx + c} \Bigg)$

$\underline{Insert \ slope:}$

$Equation: y = - \frac{1}{3}x + c$

$\underline {Find \ y-intercept}$

$at \ point (-3, 1)$

$1 = - \frac{1}{3} (-3) + c$

$c= 0$

$\underline {Insert \ y-intercept:}$

$Equation: y = - \frac{1}{3}x$

$\boxed { \boxed {Ans: y = - \frac{1}{3} x}}$