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Kazeer [188]
2 years ago
8

What is the equation of this line in standard form? 8x−7y=−25 8x−9y=23 8x−9y=−23 9x−8y=23 Number graph ranging from negative fiv

e to five on the x and y axes. A line is drawn on the graph that passes through the labeled points begin ordered pair negative 4 comma negative 1 end ordered pair and begin ordered pair one-half comma 3 end ordered pair
Mathematics
1 answer:
Gnoma [55]2 years ago
5 0

Answer:

The equation of line is:

8x-9y=-23

Step-by-step explanation:

We are given that a graph is  a that passes through two points:

(-4,-1) and (\dfrac{1}{2},3)

We know that the equation of line passing through two points:

(a,b) and (c,d) is given by:

y-b=\dfrac{d-b}{b-a}\times (x-a)

Here we have:

(a,b)=(-4,-1) and (c,d)=(\dfrac{1}{2},3)

Hence, the equation of line is:

y-(-1)=\dfrac{3-(-1)}{\dfrac{1}{2}-(-4)}\times (x-(-4))\\\\y+1=\dfrac{3+1}{\dfrac{1}{2}+4}\times (x+4)\\\\y+1=\dfrac{4}{\dfrac{9}{2}}\times (x+4)\\\\y+1=\dfrac{4\times 2}{9}\times (x+4)\\\\y+1=\dfrac{8}{9}\times (x+4)\\\\9\times (y+1)=8\times (x+4)\\\\9y+9=8x+8\times 4\\\\9y+9=8x+32\\\\8x-9y=9-32\\\\8x-9y=-23

Hence the equation of line is:

8x-9y=-23

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