Answer: The correct line is

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

We are to select one of the lines from above that represent three equivalent expressions.
We can see that there are three different forms of a quadratic expression in each of the lines:
First one is the simplified form, second is the factorised form and third one is the vertex form.
So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.
We have

and

So,

Thus, Line 1 contains three equivalent expressions.
Now,

and

So,

Thus, Line 2 does not contain three equivalent expressions.
Hence, Line 1 is correct.
Using slope-intercept form, y = mx + b where m = slope and b = y-intercept:
We know our slope is -6. This can be interpreted as -6/1, which rise-over-run-wise, means that when y changes by 6, x changes inversely by 1.
To find that y-intercept, though, we need to find the value of y when x = 0.
Use our point (-9, -3) to find this...
We want to add 9 to x so that it becomes 0.
According to our slope, this means subtracting 54 from y.
Our y-intercept is at (0, -57), with -57 being the value of b we put in our equation.

You could also just use point-slope form:
y - y¹ = m(x - x¹)
y - (-3) = -6(x - (-9))
y + 3 = -6(x + 9)
And convert to slope-intercept if you want:
y + 3 = -6x - 54
y = -6x - 57
Step-by-step explanation:
Money = Rs 1800
Ratio = 2:3:4
1st Person = 2x
2nd Person = 3x
3rd Person = 4x
X = ?
2x + 3x + 4x = 1800
9x = 1800
X = 200
1st Person = 2x = 2×200 = <u>Rs 400</u>
2nd Person = 3x = 3×200 = <u>Rs 600</u>
3rd Person = 4x = 4×200 = <u>Rs 800</u>