Respuesta :
The answer you are looking for is y = 3x + 2.
To find this answer, you fill in the coordinate points (1,5) and the slope (m or 3) into the equation y = mx + b (to find the y-intercept or b).
The equation will now say 5 = 3 * 1 + b. First, multiply 1 and 3 to get 3. Next, subtract 3 from both sides (to get b by itself). B = 2.
Now you use the same equation (y = mx + b) and gill in the slope and y-intercept. Thus meaning your answer is y = 3x + 2.
Here's a picture to show how I solved this problem. I hope this helps!

Answer:
[tex]\displaystyle 3x - y = 2, -3x + y = 2, or\:y = 3x + 2[/tex]
Step-by-step explanation:
Plug the coordinates into the Slope-Intercept Formula instead of Point-Slope Formula because you will get it done much faster that way:
5 = 3 + b
[tex]\displaystyle 2 = b \\ \\ y = 3x + 2[/tex]
If you want it in Standard Form:
y = 3x + 2
- 3x - 3x
_________
[tex]\displaystyle -3x + y = 2 \\ \\ OR \\ \\ 3x - y = 2[/tex]
I am joyous to assist you anytime.