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Softa [21]
3 years ago
6

Does the point (2,3) lie on the graph of y=3x-4

Mathematics
2 answers:
Paul [167]3 years ago
8 0
Use substitution to find out

x=2
y=3

so
3=3(2)-4
3=6-4
3≠2

no, this point does NOT lie on the graph of y=3x-4
Lina20 [59]3 years ago
5 0

Answer:

(2,3) does not lie on the graph of y=3x-4

Step-by-step explanation:

For any point to lie on the graph of a function it must satisfy the function.

So, (2,3) lies on the graph of function y=3x-4 if it satisfies it

i.e. at x=2 ,y=3

Putting x=2 in y=3x-4,we get

y=3×2-4

 =6-4

=2

Hence, when x=2,y≠3

so, (2,3) does not lie on the graph of y=3x-4

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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
Gnoma [55]

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:

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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

5 0
2 years ago
Line segment XY has the coordinates X(–12, –6) and Y(5, 6). What is the approximate length of line segment XY?
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The approximate length of line segment XY is 20.8 units

<h3>How to calculate the distance between two points</h3>

The formula for calculating the distance between two points is expressed as:

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Given the coordinate points X(–12, –6) and Y(5, 6). The distance between them is expressed as;

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XY = √(17)²+(12)²

XY = √269 + 144

XY = 20.8

Hence the approximate length of line segment XY is 20.8 units

Learn more on distance formula here; brainly.com/question/661229

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2 years ago
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