Answer:
[tex]y=-0.36x+12.6[/tex]
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
(10, 9) and (35, 0)
substitute the values in the formula
[tex]m=\frac{0-9}{35-10}[/tex]
[tex]m=-\frac{9}{25}=-0.36[/tex]
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
With the slope [tex]m=-0.36[/tex] and point (35,0) substitute in the equation and solve for b
[tex]0=-0.36(35)+b[/tex]
[tex]0=-12.6+b[/tex]
[tex]b=12.6[/tex]
therefore
The equation of the line in slope intercept form is
[tex]y=-0.36x+12.6[/tex]