Question

PLEASE ANSWERING THIS QUESTION QUICKLY!

Give the equation of the line passing through the point (-2,3) that is parallel to y=-2x+3.

Write your answer in Slope-Intercept Form.

Show your work!

No incorrect answers!

No nonsense answers!

Explain your answers!

Thanks!

Answer 1

Explanation:

parallel: -2

y - 3 = -2(x + 2)

y - 3 = -2x - 4

y = -2x - 1

Answer 2

`\textsf{Hi Brainy User, I'm Here to Help you!}`

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`\textsf{Parallel lines have the same slope. Since the slope of the given line is -2,}\\\textsf{The slope of the line that is parallel to \textbf{y=-2x+3} is also -2.}`

`\textsf{Next, we need to use the \textbf{Point-slope form} equation to find the}\\\textsf{ required equation of the line.}`

`\textsf{Point-slope form:}`

• 
  `\sf{y-y_1=m(x-x_1)}`

`\bold{\underline{Setting\:the\:values:}}`

• 
  `\sf{y_1=3}`
• 
  `\sf{m=-2}`
• 
  `\sf{x_1=-2}`

`\bold{\underline{Plugging\:in\:the\:values:}}`

• 
  `\sf{y-y_1=m(x-x_1)}`
• 
  `\sf{y-3=-2(x-(-2)}`
• 
  `\sf{y-3=-2(x+2)}`
• 
  `\sf{y-3=-2x-4}`

• 
  `\sf{y=-2x-4+3}`
• 
  `\sf{y=-2x-1}`
• 
  `\textsf{Done! Our answer is y=-2x-1.}`

`\Large\overbrace{\underbrace{\bold{Reflection - RoSe}}}^\star_\star`