Answer - D.
you basically find the equation of the line first and eliminate the wrong answers...
Strategy: before u do any of this, label your coordinates as (X1,Y1) and (X2,Y2) and u can choose any of ur points to be as x1 or x2 or y1 or y1...
basically, I'll choose (6,7) as (x1,y1) and (2,-1) as (x2,y2). SO,
First you have to find the gradient (m) of the line.
you do this by using the formula m = Y2-Y1 / X2-X1 (where '/' is division sign) ....
Put the numbers in their respective places and your gradient will be 2x. we put the x after our number to represent it as a gradient as the straight line formula is y = mx+c and you've found the m.
NOW.
use the formula Y-Y1=m(x-x1) to find the equation of the line.Again u can use any Y1 and X1 here but remember your m is 2
replace the digits and solve...Hopefully you'll get sth like this if you use the points (6,7):
Y-7 = 2(x-6) ....
y=2x-12+7...
Y=2x-5! <<<< this is your straight line equation!
Now all u gotta do is rearrange all your options into y = mx+c.
D. is incorrect as it gives us y=2x+5 and not y = 2x-5 unlike the others
Hope you get it!
<h3>Given Points:</h3>
(-6, 14) and (2, -18)
<h3>To Find:</h3>
The slope of the line that passes through the point.
<h3>Slope Formula:</h3>
y2 - y1 / x2 - x1
<h3>Solution:</h3>
-18 - 14 / 2 + 6
= -32 / 8
= -4
<h2>Answer:</h2>
<u>Option D. -4</u>
Answer:
602 in^2
Step-by-step explanation:
To find volume, multiply length, width, and height. In this case, it is 5, 14, and 8 3/5. I used a calculator, but if not, solve it using regular multiplication. First 5 times 14 since that is easier to get out of the way, then 8 3/5, and it is easiest to treat a fraction as a decimal when multiplying, in this case it would be 0.6. I am not going to explain how I got that since you were asking how to find volume.
Answer:
x = 3 - t and y = 4 - 2t
Step-by-step explanation:
We have to find such a set of parametric equations for the given equation which result in an x-value equal to 3 and a y-value equal to 4 when t is substituted as 0.
There can be more than 1 possible answers to this problem. You have to use hit and trial method to come up with the correct set of parametric equations. One of the possible set is:
y = 4 - 2t , x = 3 - t
For t = 0
x= 3 and y = 4
Hence, the condition is satisfied.
Now checking if these parametric equations result in given equation or not.
From second equation, we get:
t = 3 - x
Using this value in first equation, we get:
y = 4 - 2(3 - x)
y = 4 - 6 + 2x
y = 2x - 2
Which is the given equation.
Hence the set of parametric equation is:
x = 3 - t and y = 4 - 2t
