A real world example could be:
Consider x is time in minutes
Consider y is the amount of fish food required in grams
The equation could then represent how much food (in grams) that a fish needs to be fed x minutes after it was previously fed.
The discriminant is the portion of the quadratic formula under the root sign: b²-4ac
A quadratic equation in standard form is ax²+bx+c=0. In your equation:
a=1, b=2, and c=6. Substituting them into the equation:
2²-4(1)(6)
=4-24
=(-20)
When the discriminant is negative there are two, imaginary solutions.
If the discriminant equals a positive, perfect square number (like 4, 9, 16, etc), there will be two, rational roots.
If the discriminant equals a positive, nonperfect square number (like 3, 15, 23, etc), there will be two, irrational roots.
If the discriminant equals 0, there will be one double root
A quadratic equation graphs a parabola. The graph of a quadratic with a positive discriminant will pass through the x-axis twice. If the discriminant is 0, it will touch the x-axis and 'bounce' back the way it came. If the discriminant is negative, it will not touch the x-axis.
Answer: the second option is correct 
Using Slope = rise/run .
You can create a graph to see the intercepts (attached) OR
Step-by-step explanation:
To find the y-intercept, figure half way between (-1, -2) and (1, 2/3)
Half of that is
below the origin, y-intercept is
or 
to create an equation for this:
Take the difference in y-values
which simplifies to 4 for the Rise
Take the difference in x-values 
so the Run is 6
The slope is the slope is 4/6 , the same as 2/3.
Use slope intercept form to create the equation:

You can compute the x-intercept by substituting 0 for y
0 = 2x/3 - 4/3 . 4/3 = 2x/3 multiply both sides by 3
4 = 2x divies both sides by 2 to get 2 = x, the x-intercept
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-16-4*(x+4)-(4*x)=0
<u>Step 1:</u>
(-16 - 4 • (x + 4)) - 4x = 0
<u />
<u>Step 2: </u>
3.1 Pull out like factors :
-8x - 32 = -8 • (x + 4)
<u />
<u>Step 3:</u>
-8 • (x + 4) = 0
<u />
<u>Step 4:</u>
Solve : -8 = 0
This equation has no solution.
a non-zero constant never equals zero.
<u />
<u>Step 5:</u>
Solve : x+4 = 0
Subtract 4 from both sides of the equation: x = -4
<u>Step 6:</u>
x = negative 4 (-4)
<em>Hope i helped best wishes <333</em>
The answer is C :) Hope this helps xx