B) Which one of the following points lies on the line 2y = 5x - 3?

1 answer:

7 0

Given the equation 2y = 5x - 3:

A way to find out which of the ordered pair options lie on the line is to substitute their coordinates into the equation.

A) (2, 5)
2y = 5x - 3
2(5) = 5(2) - 3
10 = 10 - 3
10 = 7 (False statement). this means that (2, 5) is not a solution to the given equation.

B) (6, 3)
2y = 5x - 3
2(3) = 5(6) - 3
6 = 30 - 3
6 = 27 (False statement). this means that (6, 3) is not a solution to the given equation.

C) (3, -6)
2y = 5x - 3
2(-6) = 5(3) - 3
-12 = 15 - 3
-12 = 12 (False statement). this means that (3, -6) is not a solution to the given equation.

D) (3, 6)
2y = 5x - 3
2(6) = 5(3) -3
12 = 15 - 3
12 = 12 (True statement). This means that (3, 6) IS a solution to the given equation.

E) (2, -5)
2y = 5x - 3
2(-5) = 5(2) - 3
-10 = 10 - 3
-10 = 7 (False statement). this means that (2, -5) is not a solution to the given equation.

Therefore, the correct answer is Option D: (3, 6).

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Which equation represents y=x^2-10x+30 in vertex form?

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We are given parabola equation y=x^2-10x+30.

We need to convert it in vertex form y= a(x-h)^2+k.

We need to find the value of a, h and k to get the vertex form.

For the given equation y=x^2-10x+30, the coefficient of x^2 is 1.

Therefore, a=1.

Now, let us find values of h and k.

h = -b/2a.

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Plugging x=5 in given equation to get the value of k.

y= x^2-10x+30 => (5)^2 -10(5) +30 = 25 -50 +30 = 5.

Therefore, k =5.

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<h3>So, the vertex form is </h3>

$y=(x-5)^2+5$

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Brilliant_brown [7]

Answer:

$\huge\boxed{5}$

Step-by-step explanation:

This equation is in slope intercept form ( $y=mx+b$ ). This is called slope intercept form for a reason - $m$ is always the slope and $b$ is always the y-intercept.