Answer:
(–10, –2), (6, 6)
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
<u><em>Verify each case</em></u>
case 1) (5, –4), (–2, 1)
substitute in the formula
----> the slope is negative
case 2) (6, –10), (2, 10)
substitute in the formula
----> the slope is negative
case 3) (–10, –2), (6, 6)
substitute in the formula
----> the slope is positive
case 4) (5, –1), (–6, 6)
substitute in the formula
----> the slope is negative
Answer:0 = 3x - 21
Step-by-step explanation:
From this given function we can take an
x
common from its expression
i.e
x
2
−
6
x
=
x
(
x
−
6
)
As we know that the product of two numbers is zero,when either one of them is zero
then in the above expression that we just factorised
the function can be zero when either
x
=
0
or when
x
=
6
i.e when
x
=
0
,
0
(
0
−
6
)
=
0
when
x
=
6
,
6
(
6
−
6
)
=
6
(
0
)
Finally, our prize of all that math, the zeroes of the function are
0
and
6
these numbers are called the zeroes of the function because when you put these values in
x
the function gives zero.
Answer:
Step-by-step explanation:
x = y - 2.........(1)
4x + y = 2......(2)
Substituting x in (1) in (2)
4(y - 2) + y = 2
4y - 8 + y = 2
5y = 2 + 8
5y = 10
y = 10/5
y = 2
Putting x in (1)
x = y - 2
x = 2 - 2
x = 0
Answer:
Step-by-step explanation:
Scott is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Scott wants to get 59 balloons, how many yards of string will he need?
1 foot =
1
3
yard please help :(
Example :
x y
1 3
2 6
3 9
4 12
first thing u do is pick any 2 points (x,y) from ur table
(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3
now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b
so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct
and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form