Question

Write an equation of the line that passes through the point (6,-9) with the given slope m= 3

Answer 1

y=3x-27

Explanation:

Answer 2

`\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}`

Write an equation of the line passing through (6, -9) and has a slope of -3.

`\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}`

First, we need to write the equation in point-slope form:-

`\hookrightarrow\sf{y-y_1=m(x-x_1)}`

• Replace y₁ with -9, m with 3, and x₁ with 6:-

`\hookrightarrow\sf{y-(-9)=3(x-6)}`

`\bigstar` On simplification,

`\hookrightarrow\sf{y+9=3(x-6)}`

`\bigstar` On further simplification,

`\hookrightarrow\sf{y+9=3x-18}`

`\star` Subtract 9 from both sides, which results in:-

`\hookrightarrow\sf{y=3x-27}`

So we conclude that Option B is correct.

Good luck with your studies.

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