The opposite of 1/3 = -1/3
the opposite of -7/12 = 7/12
y² - 4y - 2x - 4 = 0
<u> +2x +4 </u> <u>+2x + 4 </u>
y² - 4y = 2x + 4
<u> +4 </u> <u> +4 </u>
(y - 2)² = 2x + 8
<u> -8 </u> <u> -8 </u>
(y - 2)² - 8 = 2x
(y - 2)² - 4 = x
x = (y - 2)² - 4
<em>Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)</em>
Looks tuffff ^|^|~*~\^]+|*~
A. Slope is defined by rise/run. It looks like the points where it intersects the axes are at (0, 6) and (2, 0)
Basically you take (y-y1)/(x-x1), which in this case could be (6-0)/(0-2), which is -3.
b. The perpendicular slope would be the negative inverse of that.
The inverse of 3 is 1/3, so the negative inverse of -3 would also be 1/3.
c. The parallel slope is the same as the original slope.
d. Plug these points in for y=mx+b.
2=(1/3)(-1)+b
2=-1/3+b
b=7/3. (that's 2 and 1/3).
The equation for that line would be y=(1/3)x+(7/3)
e. The y intercept is found when x=0. But it's also the b in the y=mx+b equation, so the y intercept is (0, 7/3).
In case that's hard to read:
a. Slope = -3
b. Perpendicular Slope = 1/3
c. Parallel Slope = -3
d. y=(1/3)x+(7/3)
e. Y intercept = (0,, 7/3)
Hope that helps!
Answer:
The answer is survey five randomly selected students from every homeroom
Step-by-step explanation:
hope it helps
