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cluponka [151]
3 years ago
11

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

Mathematics
2 answers:
alexandr1967 [171]3 years ago
5 0

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!

zavuch27 [327]3 years ago
4 0

Answer:

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

Step-by-step explanation:

Plug the coordinates into the Slope-Intercept Formula instead of <em>Point-Slope </em><em>Formula</em><em> </em>because you will get it done much faster that way:

5 = 3 + b

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

If you want it in <em>Standard</em><em> </em><em>Form</em>:

y = 3x + 2

- 3x - 3x

_________

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

I am joyous to assist you anytime.

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