The given line passes through the points (-1,-1) and (4.1).

Mathematics

1 answer:

ira [324]2 years ago

6 0

Answer:

(-1,-1) and (4.1).

1+1

slope of the line: m= ------- = 2/5

4+1

the slope of the perpendicular line: -5/2 and point (-1,3)

(y-3) = -5/2(x+1)

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X = -2y + 300 3y = 800 - 4x

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Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}x=-2y+300&(1)\\3y=800-4x&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\3y=800-4(-2y+300)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\3y=800+(-4)(-2y)+(-4)(300)\\\\3y=800+8y-1200\\\\3y=8y-400\qquad\text{subtract}\ 8y\ \text{from both sides}\\\\-5y=-400\qquad\text{divide both sides by (-5)}\\\\y=80\\\\\text{Put it to (1):}\\\\x=-2(80)+300\\\\x=-160+300\\\\x=140$