<h3>
The constant of proportionality is k = 5</h3>
For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.
For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.
Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.
You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.
side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.
Answer:
Question 2 the answer is C) y = -3/2x + 2
Question 3 the answer is D) x = 4
Step-by-step explanation:
To solve either we first need to know that parallel lines have the same slope.
So in #2 we know that the new line will also have a slope of -3/2. Therefore, we can use that along with the point given in the problem in point-slope form to get the new equation.
y - y1 = m(x - x1)
y + 1 = -3/2(x - 2)
y + 1 = -3/2x + 3
y = -3/2x + 2
And for #3, we know that we have a vertical line due to the fact that it is expressed as x = a number. Therefore, we must have the same in the answer. D is the only one that has such an answer.
So 9 more than 3 times a number, would be:
9+(3x)=-6
then you would solve
subtract 9 from 9 and 9 from -6
you get 3x=-15
divide by 3 on both sides
x=-5
your welcome!!!! :)
The answer for this question is B
Answer:
6/3 as an Improper Fraction.
2 as a whole number.
Step-by-step explanation:
2/3 multiplied by 3 is as shown below.
2/3 + 2/3 + 2/3.
As an Improper Fraction, the sum would be expressed as:
2 + 2 + 2 = 6. 6/3
2/3 • 3 = 2, since 6/3 = 2 as well.
