Question

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

Answer 1

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


`\Bigg( Slope = (y_2-y_1)/(x_2-x_1) \Bigg)`


`Slope = (1-(-2))/(-3-6)`


`Slope = - (1)/(3)`


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


`\underline{Insert \ slope:}`


`Equation: y = - (1)/(3)x + c`


`\underline {Find \ y-intercept}`


`at \ point (-3, 1)`


`1 = - (1)/(3) (-3) + c`


`c= 0`


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


`Equation: y = - (1)/(3)x`


`\boxed { \boxed {Ans: y = - (1)/(3) x}}`