Answer: 9)−3
/4 or -0.75
Step-by-step explanation:
Answer:
y = -1/2x + 3.5
Step-by-step explanation:
The gradients of perpendicular lines multiply to make -1. The gradient of the line given is 2, so 2 multiplied by something gives us -1. 2 × -1/2 = -1. The gradient of the perpendicular line is -1/2
y = -1/2x + c
Now we can substitute x = 1 and y = 3 into the equation:
- 3 = -1/2(1) + c
- 3 = -1/2 + c
- c = 3 + 1/2
- c = 3 1/2 or 3.5 or 7/2
The equation of the line is y = -1/2x + 3.5
Hope this helps!
Answer: Provided.
Step-by-step explanation: We are given two lines 'h' and 'k' which are parallel to each other. Also, there is another line 'j' that is perpendicular to line 'h'.
We are to prove that line 'j' is perpendicular to line 'k'.
Let, m, n and p be the slopes of lines 'h', 'k' and 'j' respectively.
Now, since line 'h' and 'k' are parallel, so their slopes will be equal. i.e., m = n.
Also, lines 'h' and 'j' are perpendicular, so the product of their slopes is -1. i.e.,
m×p = -1.
Hence, we can write from the above two relations
n×p = -1.
Thus, the line 'j' is perpendicular to line 'k'.
Proved.
Answer:
If x = 3y and 3y = x, then y = 1/3x.