Answer:
[tex]y = \frac{3}{2} x + 2[/tex]
Step-by-step explanation:
It gives us the slope in the question (3/2), so we can write an equation that looks like this:
[tex]y = \frac{3}{2} x + b[/tex]
To find the y-intercept we can plug the point (4,8) in the equation. Remember that 4 is x and 8 is y.
[tex]8 = \frac{3}{2} (4)+ b[/tex]
Now solve for b
[tex]8 = \frac{12}{2} + b\\8 = 6 + b\\2 = b[/tex]
Next, write the full equation using the slope and y-intercept:
[tex]y = \frac{3}{2} x + 2[/tex]
I hope this helps!!
- Kay :)
