If g(x)=−3x+9 g ( x ) = − 3 x + 9 and f(x)=2x+7 f ( x ) = 2 x + 7 , what is the value of g(f(x)) g ( f ( x ) ) ?
1 answer:
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Answer:
4x + 5y = - 23
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 4y - 5x = 20 into this form
add 5x to both sides
4y = 5x + 20 ( divide all terms by 4 )
y = x + 5 ← in slope-intercept form
with slope m =
given a line with slope m then the slope of a line perpendicular to it is
= -
, hence
= - 1 /
= -
y = - x + c ← is the partial equation
to find c substitute (- 2, - 3) into the partial equation
- 3 = + c ⇒ c = -
y = - x -
← in slope-intercept form
multiply all terms by 5
5y = - 4x - 23 ( add 4x to both sides )
4x + 5y = - 23 ← in standard form