Answer: Choice A
y = (-3/4)(x + 4) + 6
=====================================================
Let's go through the answer choices
- Choice A is something we'll come back to
- Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
- Choice C is false for similar reasons as choice B. The slope should be negative.
- Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.
We've eliminated choices B through D.
Choice A must be the answer through process of elimination.
------------
Here's an alternative method:
If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4
This is because we've moved down 3 units and to the right 4 units.
m = slope = rise/run = -3/4
We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.
Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)
So,
y - y1 = m(x - x1)
y - 6 = (-3/4)(x - (-4))
y - 6 = (-3/4)(x + 4)
y = (-3/4)(x + 4) + 6
Perpendicular means that it has a slope that is the reciprocal of the original, and parallel means that the slopes are the same.
Answer:
A = 8
B = 6
C = 4
D = 7
Top = 29
Side = 20
Step-by-step explanation:
To get A on the bottom side row you divide 32 by 4 and get 8.
To get D, on the first side row, subtract A, 8, now it's 21, 21 divided by 3 is 7.
To get B, on the first top row, subtract A and D, now divide by 2 and you get 6.
To get C, on the third side row, subtract B and divide by 2 and you get 4.
