Question

Find the slope and y-intercept: 4x+6y=12

Answer 1

Answer:

Slope of the line is -2/3 and y intercept is 2.

Answer 2

$\displaystyle\red{\underline{\underline{Solution}}}$

$✤$STRAIGHT LINE

The general form of a straight line is

$\displaystyle\: ax + by + c = 0$

This equation can be rewritten as

$\displaystyle y = mx + k$

Where m = slope of the line & k = y - intercept

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$✤$CALCULATION

The given equation of the line is

$\displaystyle\: \: 4x + 6y = 12$

This equation can be rewritten as

$\displaystyle \: y = - \frac{2}{3} x + 2$

$✤$RESULT

Hence the slope of the line is $\displaystyle- \frac{2}{3}$

and y - intercept is $\displaystyle \: 2$