With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form:
where
is the slope and
is the y-intercept
<u>1) Solve for the slope (</u>
<u>)</u>
The equation to solve for the slope is
when the two points are
and
. Plug the coordinates of these points into the equation and solve for
.
Then, plug
into
.
<u>1) Solve for the y-intercept (</u>
<u>)</u>
Then, take any of the given points and plug it into
along with the slope. Isolate
to get the y-intercept. Then, plug both m and b back into
to get your final equation.
I hope this helps!
First simplify the equation of parabola

in the following way:

.
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).
Answer:
Step-by-step explanation:
y=-1/2(x+10)^2+14
2y=-(x+10)^2+28
(x+10)^2=28-2y
L.H.S. is positive.
so 28-2y≥0
28≥2y
or 2y≤28
or y≤ 14
Range is (-∞,14]
Answer: 60.6 miles per hour
Step-by-step explanation: 5 hours + 3 hours + 30 mins = 8 hours 30 mins 485 divided by 8
The unit value for 6 in 216 is one