<span>y=2\3x-17and 4x-6y=-7 implies - 6y= - 4x -7, and then y= (-4/-6)x +7/6 and so
y=2/3x+7/6
but when we have y=ax+b and y=a'x+b', the two lines are parallels if a=a', in our case 2/3=2/3 the lines are parallel
</span>
y varies directly with x.
The constant of variation is k = 7
Step-by-step explanation:
We have to check whether both vary directly with each other or not.
Every pair of x and y will be considered one by one
If y varies directly with x, it should satisfy y = kx or k = yx
So,
For x= -2, y=-14
For
x=3, y=21
For
x=5, y=35
As k is same for all pairs of x and y, it can be concluded that:
y varies directly with x.
The constant of variation is k = 7
Keywords: Proportion, variation
Learn more about proportion at:
#LearnwithBrainly
We need to find the linear function represents the line given by the point-slope equation.
Given options:
y + 7 = –(x + 6).
f(x) = –2/3x – 11.
f(x) = –2/3x – 1.
f(x) = –2/3x + 3.
f(x) = –2/3x + 13.
Point -slope form of the linear equation is in the form y-y1 = m(x - x1).
Where (x1, y1) is given point and m is the slope.
In the given options we have first option y + 7 = –(x + 6).
And it could be written as y-(-7) = -1(x-(-6))
We can see point (x1,y1) = (-7,-6) and slope m= -1.
<h3>Therefore, first option y + 7 = –(x + 6) is correct option.</h3>
$8.49 for 1 pound, so $16.98 for 2 pounds
SS tax is 6.2% of 1,047.30
In math "of" means times, so
.062 x 1047.30 = 64.9326
Rounded to the nearest cent $64.93
