Question

What is the equation of this graphed line (-6,-3) (6,-7)

Answer 1

The equation is a linear equation in y=mx+b format. The slope-intercept linear equation for this line would be y=-0.33x-5

Answer 2

Answer:
`x+3y=-15`

Explanation:

The equation of a line passes through (a,b) and (c,d) is given by :-

`(y-b)=(d-b)/(c-a)(x-a)`

Then, the equation of a line that passes through (-6,-3) (6,-7) will be :-

`(y-(-3))=(-7-(-3))/(6-(-6))(x-(-6))\\\\\Rightarrow y+3=(-7+3)/(6+6)(x+6)\\\\\Rightarrow\ y+3=(-4)/(12)(x+6)\\\\\Rightarrow\ y+3=(-1)/(3)(x+6)\\\\\Rightarrow\ 3(y+3)=-x-6\\\\\Rightarrow\ 3y+9=-x-6\\\\\Rightarrow\ x+3y=-15.`

Hence, the required equation is
`x+3y=-15`.