Question

Find the slope and y-intercept: a)3x+y=4

Answer 1

Y=-3x+4
m=-3 and y intercept= 4

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

$\displaystyle\: \: 3x + y = 4$

This equation can be rewritten as

$\displaystyle \: y = - 3x + 4$

$✤$RESULT

Hence the slope of the line is $\displaystyle- 3$

and y - intercept is $\displaystyle \: 4$