Step-by-step explanation:
Hey there!
The point shows the coordinates of (-2,1) and (4,6).
Now, When two points are given on a st.line, we use double point formula.
So, use formula;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values of x and y coordinates.
[tex](y - 1) = \frac{6 - 1}{4 + 2} (x + 2)[/tex]
Simplify it.
[tex](y - 1) = \frac{5}{6} (x + 2)[/tex]
[tex]y = \frac{5}{6} x + 2 \times \frac{5}{6} + 1[/tex]
[tex]y = \frac{5}{6} x + \frac{ 8}{3} [/tex]
Therefore, the equation of a line is y= 5/6x+8/3.
Hope it helps...
