Step-by-step explanation:
Hey there!
The equation of a st.line passing through points (4,5) and (7,3) is;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 5) = \frac{3 - 5}{7 - 4} (x - 4)[/tex]
Simplify it.
[tex](y - 5) = \frac{ - 2}{3} (x - 4)[/tex]
[tex]3(y - 5) = - 2x + 8[/tex]
[tex]3y - 15 = - 2x + 8[/tex]
[tex]2x + 3y - 23 = 0[/tex]
Therefore therequired equation is 2x+3y-23=0.
Hope it helps..
