Answer:
Y = 3x + 9
Step-by-step explanation:
The equation is given in the y = mx + C form.
Where m, the gradient = 3
Since the line is parallel m, the gradient of the second line is also = 3
Since,
[tex]m = \frac{y1 - y2}{x1 - x2} \\ or \\ m = \frac{y2 - y1}{x2 - x1} [/tex]
Therefore,
[tex]3 = \frac{y - 3}{x -( - 2) } \\ 3 = \frac{y - 3}{x + 2} \\ [/tex]
Cross multiplying gives,
[tex]3(x + 2) = y - 3 \\ 3x + 6 = y - 3 \\ y = 3x + 9[/tex]
