Answer:
Step-by-step explanation:
y = mx + b is the formula for slope intercept. What we can do is plug in the slope and coordinate points to find the y-intercept.
4 = (3) + b
-2/3 times 3 is -2 so you can fill that in place.
4 = -2 + b
<u>+2 +2 </u>
6 = b
So the y-intercept is 6 now we can complete the equation.
Hope that helps and have a great day!
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.
