Answer: y = 5x
Step-by-step explanation:
First, we need to find the slope of the line. This line has no slope, meaning it's a horizontal line.
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{-5-5}{-1-1}=\frac{-10}{-2} =5[/tex]
Next, we can write our equation. We will write a point-slope form equation, which is y - y1 = m(x - x1). Here, (x1, y1) is a point on the graph and m is the slope.
y - 5 = 5(x - 1)
Next, we can simplify this equation down into a slope-intercept form equation, which is y = mx + b. Here, m is the slope and b is the y-intercept.
y = 5(x - 1) + 5
y = 5x - 5 + 5
y = 5x
