Answer:
To complete the equation of line L that passes through the point (-3, 5) and has a slope of 2/3, we can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
Where:
- (x₁, y₁) is the given point (-3, 5).
- m is the slope, which is 2/3.
Substitute the values:
y - 5 = (2/3)(x - (-3))
Simplify the expression:
y - 5 = (2/3)(x + 3)
Distribute (2/3):
y - 5 = (2/3)x + 2
Now, isolate y by adding 5 to both sides:
y = (2/3)x + 2 + 5
y = (2/3)x + 7
So, the correct equation of line L is:
y = (2/3)x + 7
Among the options you provided, the correct equation is indeed:
y = (2/3)x + 7