Hey there!
We're going to write the equation for this line in slope-intercept form, y = mx+b, where m is the slope and b is the y-intercept. In order to write it in this form, as stated in the name, we need the slope and y-intercept. Since we have the slope given, we can use the points we have and set up that equation with the given slope to solve for b. We'll use the x and y values and throw them into the equation. We have:
-1 = 3/2(4) + b
-1 = 12/2 + b
-1 = 6 + 6
-6 = b
Now, since we have our slope and y-intercept, we can write our equation with these two values:
y = 3/2x - 6
Hope this helps!