Question

A line passes through the point (8, 5) and has a slope of 3.

Answer 1

`\displaystyle 3x - y = 19\:or\:y = 3x - 19`

Explanation:

Plug the information into the Slope-Intercept Formula:

`\displaystyle 5 = 3[8] + b \hookrightarrow 5 = 24 + b; -19 = b \\ \\ y = 3x - 19`

Suppose you need to write this equation in standard form. You would follow these procedures:

y = 3x - 19

- 3x - 3x

__________

`\displaystyle -3x + y = -19`

*Now, you can leave the standard equation like this, but UNIVERSALLY, the A-term is positive, so you must multiply the negative out as well.

`\displaystyle \boxed{3x - y = 19}`

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