Respuesta :

Step-by-step explanation:

Hey there!

The equation of a st.line passing through points (4,5) and (8,9) is;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y - 5) = \frac{9 - 5}{8 - 4} (x - 4)[/tex]

Simplify them to get equation.

[tex](y - 5) = \frac{4}{4} (x - 4)[/tex]

[tex](y - 5) = 1(x - 4)[/tex]

[tex](y - 5) = x - 4[/tex]

[tex]x - y + 1 = 0[/tex]

Therefore the required equation is: x - y + 1=0.

Hope it helps...

ACCESS MORE
EDU ACCESS