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slope intercept form & standard form

slope intercept form & standard form

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
1 REPLY 1

slope intercept form & standard form

> 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
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