Question

The line has a slope of 3 and passes through the point (-3,0). What is the point-slope form of the line? A) y-3=3(x+3) B) y-0=3(x+3) C) y-3= (x+3) D) y-0=3(x-3)​

Answer 1

✦ Given that

• A line has a slope of 3 and it passes through (-3,0)

✦ We need to find

• The point-slope form of the line

`\hrulefill`

`\longleftrightarrow\rm{y-y_1=m(x-x_1)}`

`\longleftrightarrow\rm{y-0=3(x-(-3)}`

`\longleftrightarrow\rm{y=3(x+3)}`

Therefore the point slope is y = 3(x + 3).

Answer 2

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Required answer: y - 0 = 3(x + 3)

Detailed solution:

Let's take a look at our givens.

This line:

• Has a slope of 3
• Passes through (-3,0)

We can substitute this info into point-slope:

`\dashrightarrow\bf{y-0=3(x-(-3)}`

`\dashrightarrow\bf{y-0=3(x+3)}` (point-slope)

`\dashrightarrow\bf{y=3(x+3)`

`\dashrightarrow\bf{y=3x+9}`

`\therefore` The line's equation is y - 0 = 3(x + 3).

`\hrulefill`

Have a wonderful day! <3