Answer:
B: y = -2/3x - 10/3
Step-by-step explanation:
The point is at (-2,-2), therefore when you input -2 into the desired equation, it should yield -2 as our output. If we use the equation B, the equation becomes
-4/3 - 10/3 which is -6/3. After dividing it we get -2 as the output.
To find the line yourself we use the point slope formula
y - y1 = m(x - x1)
The line is parallel to the one on the graph so the slope or <em>m</em> is equal to -2/3
We input the coordinates we want for y1 and x1.
y - (-2) = -2/3 (x - (-2))
y + 2 = -2/3x - 4/3
y + 6/3 = -2/3x - 4/3
y = -2/3x - 10/3
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
Answer:
A. x-3
B. x-14
C. x-10
Step-by-step explanation:
The answer is A. X=-1/3 or x=2/3
1. y=7/8x +1
2. y=-10x
3. y=2.5x-7
4. y=1.2x
5. y=-5x-8