👤

Answer :

Answer:

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