Question

Find an equation for a line with slope

of

`(3)/(4)`
,passing through (2,-3)​

Answer 1

y = ³/₄x - ⁹/₂

Explanation:

The point-slope form of the equation of a line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

m = ³/₄

(2, -3) ⇒ x₁ = 2, y₁ = -3

So the point-slope form of the equation:

y - (-3) =³/₄(x - 2)

or: y + 3 = ³/₄(x - 2)

y + 3 = ³/₄x - ³/₂ {subtract 3 from both sides}

y = ³/₄x - ³/₂ - ⁶/₂

y = ³/₄x - ⁹/₂