Step-by-step explanation:
y-y1 = m(x-x1) is the equation for a linear line in y=mx+b (slope intercept)
slope = m = -5/8
x1 = -14
y1 = 6
y-6 = -5/8 (x--14)
y-6 = -5/8 (x+14)
y-6 = -5/8x-70/8
y-48/8= -5/8x-70/8
y = -5/8x - 22/8
When x = 0, y = -22/8, which makes (0, -22/8) your y intercept
The sketch of the parabola is attached below
We have the focus

The point

The directrix, c at

The steps to find the equation of the parabola are as follows
Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates;

and

.
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by

Step 2
Find the distance between the point P to the directrix

. It is a vertical distance between y and c, expressed as

Step 3
The equation of parabola is then given as

=


⇒ substituting a, b and c


⇒Rearranging and making

the subject gives
X
4
−34x
2
+225=0
2 Factor
x
4
−
34
x
2
+
225
x
4
−34x
2
+225.
(
x
2
−
25
)
(
x
2
−
9
)
=
0
(x
2
−25)(x
2
−9)=0
3 Solve for
x
x.
x
=
±
5
,
±
3
x=±5,±3
If George's driveway is a rectangle 12.2 m by 3.0 m, its dimensions in cm are
... 1220 cm long × 300 cm wide × 2 cm deep
Thus the volume of gravel required is
... (1220 × 300 × 2) cm³ = 732,000 cm³
George needs about 0.732 bags, so he will probably need to buy 1 bag.
hope this helps! feel free to clarify if unsure