Answer:
y=1/3x-7
Step-by-step explanation:
Since we are given a point and a slope, we can use the point slope formula
[tex]y-y_{1} =m(x-x_{1})[/tex]
where m is the slope, y1 is the y coordinate of the point is x1 is the x coordinate of the point
We know m, or the slope is 1/3.
We are given the point (3, -6). Therefore, our y coordinate is -6, and the x coordinate is 3.
So, we have m is 1/3, y1 is -6 and x1 is 3
y- -6=1/3(x-3)
y+6=1/3(x-3)
To find the equation in point slope form: y=mx+b, we need to get y by itself.
First, distribute the 1/3
y+6= 1/3*x + 1/3*-3
y+6=1/3x-1
Subtract 6 from both sides
y+6-6=1/3x-1-6
y=1/3x-7
