Answer:5y=x-35
Step-by-step explanation:
The given line passes through the points [tex](0,-7)[/tex],[tex](10,-5)[/tex].
Let the slope of the line be [tex]m[/tex].
If a line passes through [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex],then
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
So,[tex]m=\frac{-7-(-5)}{0-10}=\frac{1}{5}[/tex]
Y-intercept of a line is defined as the y-coordinate of the point where the line touches y axis.
Let the y intercept be [tex]b[/tex]
From the graph,[tex]b=-7[/tex]
The equation of the line with slope [tex]m[/tex] and y-intercept [tex]b[/tex] is [tex]y=mx+b[/tex]
So,[tex]y=\frac{1}{5}x-7[/tex]
[tex]5y=x-35[/tex]
