(d): y = mx+n
m = -2/3 ⇒ y = (-2/3)x +n
A(-4, 6) ∈ d ⇒ 6 = (-2/3)·(-4) +n ⇒ 6 = 8/3 +n ⇒
⇒ n = 6 - 8/3 ⇒ n = 10/3
Now, we have:
y = (-2/3)x +10/3
1) True that line x = 0 is perpedicular to y = -3. Because x = 0 is parallel to the y-axis and y = -3 is parallel to the x-axis.
2) True that all the lines that are parallel to the y-axis are vertucal lines (the y-axis is vertical)
3) False that all lines perpendicular to the x-axis have a slope o 0. Their slope trends to infinity.
4) False that the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. The right equation is y = - 6
5) True thath the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1
20 bicycles each of 2 wheels
So 20 x 2 = 40 wheels
10 cars each of 4 wheels
So 10 x 4 = 40 wheels
Total = 40 + 40
= 80 wheels
In short the answer is 5/25 or 1/5 either works.
