Question

Write the equation of the line intersecting the point (1,5) and with slope m=3

Answer 1

`\displaystyle 3x - y = 2, -3x + y = 2, or\:y = 3x + 2`

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

`\displaystyle 2 = b \\ \\ y = 3x + 2`

If you want it in Standard Form:

y = 3x + 2

- 3x - 3x

_________

`\displaystyle -3x + y = 2 \\ \\ OR \\ \\ 3x - y = 2`

I am joyous to assist you anytime.

Answer 2

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!