Question

Find the equation of the line.

Use exact numbers.

Answer 1

Answer: y=0.5x-3

Explanation:

`\displaystyle\\(0,-3)\ \ \ \ (6,0)\\ (x-x_1)/(x_2-x_1)=(y-y_1)/(y_2-y_1) \\\\x_1=0\ \ \ \ x_2=6\ \ \ \ \ y_1=-3\ \ \ \ \ y_2=0\\\\(x-0)/(6-0) =(y-(-3))/(0-(-3))\\\\(x)/(6) =(y+3)/(0+3) \\\\(x)/(6) =(y+3)/(3)`

Multiply both parts of the equation by 3:

`\displaystyle\\(x)/(2) =y+3\\\\0.5x=y+3\\\\0.5x-3=y+3-3\\\\0,5x-3=y\\\\Thus,\ y=0.5x-3`

Answer 2

y = (1/2)x + -3

Explanation:

Point 1: (0, -3); Point 2: (6, 0)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 0 - (-3) 0 + 3 3 1

m = ------------- = ------------ = ---------- = -------- = --------

x₂ - x₁ 6 - 0 6 6 2

y - y₁ = m(x - x₁)

y - (-3) = (1/2)(x - 0)

y + 3 = (1/2)x

- 3 -3

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y = (1/2)x - 3

I hope this helps!