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through / (4, - 3) , parallel to y = - 2x

Sagot :

thepingu

Answer:

[tex]\huge\boxed{y=-2x+5}[/tex]

Step-by-step explanation:

In order to solve for the equation of the line, we need to note a couple of things.

  • A) If a line is parallel to another, they will both have the same slope
  • B) We can substitute x and y values into the equation to find unknown values.

Since the line is parallel to the equation [tex]y = -2x[/tex], we know that the slope is -2.

Equations will be in the form [tex]y = mx+b[/tex], m being the slope, and b being the y-intercept. Since we know the slope, we can substitute it into the equation.

[tex]y = -2x+b[/tex]

Additionally, we know one of the points it passes through. Therefore, we can also substitute this into the equation and find the value of b (y-intercept).

[tex]-3 = -2 \cdot 4 + b[/tex]

Solve for b:

  • [tex]-3 = -8 + b[/tex]
  • [tex]b = -3+8[/tex]
  • [tex]b = 5[/tex]

Now we know the slope and the y-intercept, which is all we need to create our equation.

[tex]y = -2x+5[/tex]

Hope this helped!

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