Answer:
The standard for is x + y = -3
Step-by-step explanation:
To start, we know that the slope of perpendicular lines are opposite and reciprocal. Since the perpendicular line has a slope of 1, we know the new line will have a slope of -1.
To find the intercept of the second equation, solve for y and look for the constant.
3y = 2x - 9
y = 2/3x - 3
This gives us an intercept of -3.
Now that we have the slope and intercept we can use slope-intercept form and plug in the information. Then we simply need to solve for the constant.
y = mx + b
y = -x - 3
x + y = -3