How do you find the slope and y intercept of 4x-6y+3=0?

Apr 18, 2016

slope $= \frac{2}{3}$
y-intercept $= \frac{1}{2}$

Explanation:

The equation of a line in the form $\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = m x + c} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and c, the y-intercept.
is useful in that we can extract slope and y-intercept 'easily'

Rearranging 4x - 6y + 3 = 0 , into this form will allow us to do that.

move 4x and +3 to the right side ,remembering to change their signs.

hence: -6y = -4x-3 , and dividing both sides by -6

$\frac{\cancel{- 6} y}{\cancel{- 6}} = \frac{- 4}{- 6} x + \frac{- 3}{- 6}$

$\Rightarrow y = \frac{2}{3} x + \frac{1}{2}$

$\Rightarrow m = \frac{2}{3} \text{ and } c = \frac{1}{2}$
graph{2/3x+1/2 [-10, 10, -5, 5]}