y = 2/3x - 3
Slope-intercept form looks like this: y = mx + b. m is your slope (in this case 2/3), and b is your y intercept.
Here, you already know the slope so you can plug it into the equation
y = 2/3x + b
To find b, plug in your point ((6,1)) in for x and y and then solve for b
1 = 2/3(6) + b
1 = 4 + b | multiply 6 x 2/3
-3 = b | subtract 4 from both sides
Now, plug b into your equation and you’re all set!
y = 2/3x - 3
I hope this helped :)
