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

Answer-

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

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.

$\dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

Here,

x₁ = -2

y₁ = -3

x₂ = 3

y₂ = -3

Putting the values,

$\Rightarrow \dfrac{y-(-3)}{-3-(-3)}=\dfrac{x-(-2)}{3-(-2)}$

$\Rightarrow \dfrac{y+3}{-3+3}=\dfrac{x+2}{3+2}$

$\Rightarrow \dfrac{y+3}{0}=\dfrac{x+2}{5}$

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

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

$\Rightarrow y+3=0$

$\Rightarrow y=-3$

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