3 years ago

A line passes through (3, 7) and (6, 9). Which equation best represents the line?

1 answer:

7 0

The answer is the first option
y=3/2x+5

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masya89 [10]

Let

$P=(P_x,P_y),\quad Q=(Q_x,Q_y)$

If M is the midpoint, the x and y coordinates of M are the average of the x and y coordinates of P and Q:

$M=\left(\dfrac{P_x+Q_x}{2},\ \dfrac{P_y+Q_y}{2}\right)$

We can solve this expression for the coordinates of Q:

$M_x = \dfrac{P_x+Q_x}{2} \implies Q_x = 2M_x-P_x$

$M_y = \dfrac{P_y+Q_y}{2} \implies Q_y = 2M_y-P_y$

Plug in the values for the coordinates of M and P to get

$Q_x = 2M_x-P_x = 2\cdot 5-11 = 10-11=-1$

$Q_y = 2M_y-P_y = 2\cdot (-2) - (-10) = -4+10=6$

5 0

3 years ago

goldfiish [28.3K]

The answer should be 1.80

8 0

3 years ago

avanturin [10]

K^2-5k-50
(k-10)(k+5)

This is because k*k=k^2 (your first term), 5k-10k=-5k (your second term) and -10*5=-50 (your last term).

Distribute to check.

3 0

2 years ago

Afina-wow [57]

Answer:

0.927

Step-by-step explanation:

add then round the last digit (it doesnt matter if it is a decimal number or not).

3 0

2 years ago

Nuetrik [128]

Answer:

17.80/676.4= $38

Step-by-step explanation:

8 0

3 years ago