Answer:Slope=8,[tex]\dfrac{-1}{2}[/tex],equation is [tex]x+2y=16[/tex].
Step-by-step explanation:
Y-intercept of the line is defined as y-coordinate the point where the line crosses the y-axis.
We can see from the graph that the line passes y axis at [tex](0,8)[/tex]
So,y intercept is [tex]8[/tex]
Let [tex]m[/tex] be the slope of a line which passes through [tex](x_{1}.y_{1})[/tex] and [tex](x_{2},y_{2})[/tex]
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The given line passes through [tex](0,8)[/tex] and [tex](10,3)[/tex]
So,[tex]m=\frac{8-3}{10-0}=\frac{-1}{2}[/tex].
Equation of a line that passes through [tex](x_{1},y_{1})[/tex] and slope [tex]m[/tex] is [tex]y-y_{1}=m(x-x_{1})[/tex].
It is given that the line passes through [tex](0,8)[/tex]
So, the equation is [tex]y-8=\frac{-1}{2}\times (x-0)[/tex]
So,[tex]x+2y=16[/tex] is equation of the the given line when simplified.
