slope intercept form & standard form

[ranamuchacha-di]

Can anybody help me out with finding the equation of a line that is in both slope intercept form and standard form? Example: Passes through (1,3) with a slope of 3

[TKHunny]

> Find the equation of a line that is in both slope
> intercept form and standard form?

> Example: Passes through (1,3) with a slope of 3

Point-Slope Form

y - y₀ = m�(x - x₀)

We have:

(x₀,y₀) = (1,3)
m = 3

Substitute

y - 3 = 3�(x - 1)

Simplify

y - 3 = 3�x - 3
y = 3�x

That is Slope-Intercept Form.

y = m�x + b

In our case, b = 0, so it may look a little odd.

Standard Form may be

A�x + B�y + C = 0

In our case, a simple adjustment from the Point-Slope form gives:

3�x - y = 0