Answer:
5x - y = 27
Step-by-step explanation:
Slope is the direction of line and it is calculated as,
[tex]Slope = \frac{y-y_{1}}{x-x_{1}}
[/tex]
where (x₁, y₁) is any two points on the line.
Here, we have given that
Slope = 5 and (x₁, y₁) = (5, -2)
∴ [tex]5 = \frac{y-(-2)}{x-5}
[/tex]
⇒ 5(x - 5) = y + 2
⇒ 5x - 25 = y + 2
⇒ 5x - y = 27
Hence, the equation of a line is: 5x - y = 27
