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The equation of the line is:
y + 3x = 50
Explanation:Given the points: (5, 35) and (10, 20)
The equation of a line is given as:
[tex]y-y_2=m(x-x_2)[/tex]Where m is the slope
The value of m is:
(20 - 35)/(10 - 5)
= -15/5
= -3
[tex]\begin{gathered} x_2=10 \\ y_2=20 \end{gathered}[/tex]Using these, we have:
y - 20 = -3(x - 10)
y - 20 = -3x + 30
y + 3x = 30 + 20
y + 3x = 50