Question

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

Answer 1

Answer:

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

Step-by-step 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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