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skelet666 [1.2K]
3 years ago
13

Which equation represents the line that is parallel to y = -3 and passes through (-1, 6)?

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
7 0

Answer:

Step-by-step explanation:

We'll look for an equation with the form y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

A parallel line will have the same slope as the reference line, in this case it is 0, since y = -3 has no x term in it [y is independent of x].  The line we want will have the form y=b, since m is 0.  Put the given point, (-1,6) into this equation to find b:

y=b

6=b

The equation of a line parallel to y=-3 is y=6.

See attached plot.

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{3x - 2y = 10 <br> {2x + 3y = 11
Softa [21]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

(4, 1)

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

~Solve by Graphing~

  • I graphed the given equations in a program.
  • The point of intersection, if the lines pass, would be the solution.
  • The point of intersection in the given system of equations is (4,1).
  • This means that (4,1) is the solution.
  • See the graph attached.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

4 0
3 years ago
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