Answer:
1.6 to nearest tenth.
Step-by-step explanation:
This will be a line which is perpendicular to y = 3x + 5 and the line will also pass through the point (0,0).
Equation of that line:
Slope = -1/3 so we can write:
y - 0 = -1/3(x - 0)
So its y = -1/3 x,
The point where it intersects with the given line is now found:
-1/3x = 3x + 5
10/3 x = -5
x = -5 *3/10 = -1.5.
- and the y coordinate = 3(-1.5) + 5 = 0.5.
So the point is (-1.5, 0.5)
and the required distance = √((-1.5)^2 + 0.5^2)
= 1.58
= 1.6 to nearest tenth.
