Answer: y=9x + 26
Explanation:
Notice that for two lines to be parallel they must have the same slopes but different y intercept.
So the equation y =9x + 2 has a slope of 9 and y-intercept of 2 so using the points we can determine the y intercept of the line parallel to it to find the.
Using the slope intercept form formula which is y = mx + b we can plot in the slope and the given coordinates to solve for b.
The coordinate is (-2,8) which the y value is 8 and the x value is -2
so 8 = 9(-2) +b solve for b
8 = -18 + b
+18 +18
b = 26
The y intercept is 26 so the equation will be y=9x + 26