Answer:
y = -5x + 3.
Step-by-step explanation:
We can find the point of intersection by solving the system:
y = 2x + 3 .... 1
x + y = 3 ...... 2 from this:
y = 3 - x ....... .3
Equating equations 1 and 3:
2x + 3 = 3 - x
3x = 0
x = 0 so y = 2(0) + 3 = 3.
So the point of intersection is (0, 3).
So the required equation has slope -5 and passes through (0, 3) and, using the point-slope form of a straight line, we have:
y - 3 = -5(x - 0)
y - 3 = -5x
y = -5x + 3.
