Find the linear equation whose graph is the straight line with the given properties through ( 1,-8) and (-1,-1)

Answers

Answer 1
Answer: y=-7/2x-9/2

Explanation: solving for y=mx+b (linear equation)

m(slope)=y2-y1/x2-x1
(x1= 1, y1=-8),(x2=-1,y2=-1)
M=-1-(-8)/-1-1=7/-2= -7/2

To find the b(y-intercept),use one of the coordinates and plug it into y=mx+b, I will use (x=1,y=-8): -8=-7/2(1)+b

-8/1=-7/2(1)+b/1 -divide the 1 to cancel it and bring it to the other side.

-8+7/2=-7/2+7/2+b -add the 7/2 to cancel it and bring it to the other side.

-9/2=b -b is now isolated and is solved.

So, that’s how you get y=-7/2x-9/2
Answer 2

The equation of a line for the given coordinates is 7x+2y+9=0.

The given coordinates are (1, -8) and (-1, -1).

We need to find the linear equation whose graph is a straight line.

What is the slope of a line?

The slope of a line is defined as the change in the y coordinate with respect to the change in the x coordinate of that line. The slope of a line=m=(y2-y1)/(x2-x1).

Now, slope of the line=(-1-(-8))/(-1-2)

=7/(-2)

=-7/2

Now, put m=-7/2 and (-1, -1) in the equation y=mx+c.

So, -1=(-7/2)(-1)+c

⇒-1-7/2=c

⇒c=-9/2

Then the equation of the line=y=-7x/2-9/2

⇒2y=-7x-9

⇒7x+2y+9=0

Therefore, the equation of a line for the given coordinates is 7x+2y+9=0.

To learn more about the slope visit:

https://brainly.com/question/2491620.

#SPJ2


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Answers

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Answer:

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Answers

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Answers

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Answers

Answer:

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