Add 1 to both sides:
In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that
Under this assumption, we square both sides and we have
The solutions to this equation are
But since we can only accept solutions greater than -1, we discard 
and accept 
.
In fact, we have
and
which is the only solution.
d because you take the denominator of the fraction and you put it infront of the square root then you take the numerator and multiply it by the number at hand in this case 7
Take a look at the possible answers and see if any make sense.
Yes, it is a proportional relationship because the graph goes through the origin* Sorry, but the line you mentioned DOES NOT go through the origin. So this can't be the answer.
Yes, it is a proportional relationship because the graph is a straight line* The line isn't a straight line. The slope between points (0,2) and (1,6) is 4. The slope between (1,6) and (2,10) is 4. But the slope between (2,10) and (3,12) is 2. So the line isn't straight. So this too is the wrong answer.That right there eliminates half the choices because those choices describe things that are NOT in the graph you've been given. Now you have to think for which of the two remaining choices are correct.
No, it is not a proportional relationship because the graph is not a straight line* This is true. The graph for a proportional relationship is a straight line that passes through the origin. And the points you specified are not for a straight line.
No, it is not a proportional relationship because the graph does not go through the origin* And this too is true. The line doesn't pass through the origin. And as mentioned above, the graph of a proportional relationship is a STRAIGHT line and passes through the origin.
My personal opinion is that you mistyped, or misread something about the problem and because of that, it's currently impossible to determine which of the last 2 options is the correct one. I suspect the last ordered pair should be 3,14 and not the 3,12 you've entered. Reason for that is the slope is OK for points 1 through 3, but the 4th point is an outlier. If that's the error, then the correct answer is the last option.
Answer:
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
Step-by-step explanation:
Let P be the point.
As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
(x₁, y₁) = (-2,-8)
(x₂, y₂) = (5,-1)
Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7
Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7
1 : 6 ratio means the point P lies at
Thus,
rise for P = 7 × 14% = 1
run for P = 7 × 14% = 1
Thus, coordinates of P will be:
x = -2 + 1 = -1
y = -8 + 1 = -7
Thus,
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
