Question

I need help solving this math problem Find the equation of the line in its form y = mx + b

Answer 1

`y=2`

Explanation:

The equation must be in its slope-intercept form, which is as follows:

`\begin{gathered} y=mx+b \\ \text{where m is the slope and b is the y-intercept} \end{gathered}`

We calculate the slope as follows:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \text{ Replacing the points:} \\ m=(2-2)/(7-(-1))=(0)/(7+1)=(0)/(8)=0 \end{gathered}`

Now, we calculate the value of b, like this:

`\begin{gathered} 2=0\cdot7+b \\ b=2 \end{gathered}`

Therefore, the equation is the following:

`\begin{gathered} y=0x+2 \\ y=2 \end{gathered}`