Answer:
y= 8/3 x - 9
Step-by-step explanation:
The equation of any given line is y=mx+b
where m is the slope and b the intercept point with y=axis.
First lest obtain the slope by using slope's equations
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where (x2,y2)= (6,7) and (x1,y1)= (3,-1)
[tex]m=\frac{7-(-1){6-3}[/tex]
Thus we have that our slope is 8/3
Now lets found our intercept point with 'y' axis.
We can use the first point (3,-1)
-1= 8/3 * 3 + b
b=-9
The equation is: y= 8/3 x - 9
