Question

What is the equation of the following line written in slope-Intercept form?

Answer 1

the answer in slope intercept form is y=-2/3x-13/3

Answer 2

Explanation:

(-5,-1) & (-2, -3)

`Slope= (y_(2)-y_(1))/(x_(2)-x_(1))\\\\= (-3-[-1])/(-2-[-5])\\\\= (-3+1)/(-2+5)\\\\= (-2)/(3)`

m= -2/3 ; (-5,-1)

`y-y_(1)=m(x-x_(1))\\\\y-[-1]= (-2)/(3)(x-[-5])\\\\y+1= (-2)/(3)(x+5)\\\\y+1=(-2)/(3)x+5*(-2)/(3)\\\\y+1=(-2)/(3)x+(-10)/(3)\\\\y=(-2)/(3)x+(-10)/(3)-1\\\\y=(-2)/(3)x+(-10)/(3)-(3)/(3)\\\\y=(-2)/(3)x-(13)/(3)`