Step-by-step explanation:
Hey there!
The points through which the line passed are; (-3,-7) and (12,3).
Note: Use double point formula.
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Keep all values.
[tex](y + 7) = \frac{3 + 7}{12 + 3} (x + 3)[/tex]
Simplify it.
[tex](y + 7) = \frac{10}{15} (x + 3)[/tex]
[tex](y + 7) = \frac{2}{3} (x + 3)[/tex]
[tex]y + 7 = \frac{2}{3} x + 3 \times \frac{2}{3} [/tex]
[tex]y = \frac{2}{3} x + 2 - 7[/tex]
[tex]y = \frac{2}{3} x - 5[/tex]
Therefore, the required equation is; y = 2/3x - 5.
Hope it helps...
