Answer: [tex]5y - x = -25[/tex]
Step-by-step explanation:
The formula for calculating equation of line when a point and a slope is gives is :
[tex]y - y_{1} = m ( x - x_{1})[/tex]
[tex]x_{1} = 10[/tex]
[tex]y_{1} = -3[/tex]
[tex]m = \frac{1}{5}[/tex]
substituting into the formula , we have
[tex]y - (-3) = \frac{1}{5}(x - 10 )[/tex]
[tex]y + 3 = \frac{1}{5}(x - 10 )[/tex]
multiply through by 5 ,
[tex]5 (y+ 3 ) = x - 10[/tex]
[tex]5y + 15 = x - 10[/tex]
in standard from , we have
[tex]5y - x = -10 - 15[/tex]
[tex]5y - x = -25[/tex]
