Answer:
To find the name of the restaurant, we need to find the intersection point of the two streets.
The equation of Second Street is y = (-4/3)x + 4/3.
The equation of Washington Boulevard is y = (3/7)x - 3/7.
To find the intersection point, we can set the two equations equal to each other:
(-4/3)x + 4/3 = (3/7)x - 3/7
Multiplying both sides by 21 (the least common multiple of 3 and 7) to eliminate fractions, we get:
-28x + 28 = 9x - 9
Bringing all the x terms to one side and all the constants to the other side, we get:
-37x = -37
Dividing both sides by -37, we get:
x = 1
Substituting this value of x into either equation, we can find y:
y = (-4/3)(1) + 4/3 = 0
Therefore, the intersection point of Second Street and Washington Boulevard is (1,0), which means the restaurant is located at that point.
Explanation: