Question

What is the equation of the line shown in this graph? A function graph of a line with two points (-2,-3) and (3,-3) with an x axis of negative five to five and a y axis of negative five to five Enter your answer in the box.

Answer 1

-3

Explanation:

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Answer 2

`\boxed{\boxed{y=-3}}`

Solution-

The two points given here are (-2,-3) and (3,-3).

We can derive the straight line equation between these two points by applying two points formula.

`(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)`

Here,

x₁ = -2

y₁ = -3

x₂ = 3

y₂ = -3

Putting the values,

`\Rightarrow (y-(-3))/(-3-(-3))=(x-(-2))/(3-(-2))`

`\Rightarrow (y+3)/(-3+3)=(x+2)/(3+2)`

`\Rightarrow (y+3)/(0)=(x+2)/(5)`

`\Rightarrow 5(y+3)=0(x+2)`

`\Rightarrow 5(y+3)=0`

`\Rightarrow y+3=0`

`\Rightarrow y=-3`

Therefore, the equation of the line is
`\Rightarrow y=-3`