Answer:
y=2/3x+14
Step-by-step explanation:
The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.
Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14
The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:
0=2/3x+14
-14=2/3x
21=x
So the x-intercept is 21
If you meant to write y=23x-4 then none of the lines are perpendicular.
I suspect you intended y=2/3x-4, then line D, y=-3/2x-4 is perpendicular.
For any line y=mx+b, you have to "invert" m to get a perpendicular line. Inverting in this case means: flip numerator and denominator and add a minus sign.
So 2/3 becomes -3/2, hence answer D.
The 'inverted' m is called the opposite reciprocal. That's your word of the day.
Answer:

Step-by-step explanation:
Given (AB )^T= B^T. A^T;
To prove this expression, we need to apply multiplication law, power law and division law of indices respectively, as shown below.

I think it would be 4/3 because when you multiply 8 by 4/3 you get 6 and when you multiply-6 by 4/3 you get -4.5 so
4/3
Just plug in 4 for the x
2*4 +4y =36
8+4y =36
4y =36-8
4y=28
y= 28/4
y=7