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snow_tiger [21]
3 years ago
9

Which equation of a line passes through the points (3, −1) and (6, 1)?

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0

Answer:

Y = 2/3x - 3

Step-by-step explanation:

Recall the general equation for a straight line is

y = mx + b

where m is the gradient and b is the y-intercept

given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:

m = \frac{y1-y2}{x1-x2}

in this case, x1 = 3, y1 = -1, x2 = 6, y2=1

applying these values to the formula for m will give

m =  (-1 -1) / (3-6) = 2/3

We can see immediately that only the first (top-most) answer has this value for m and we can guess that this is probably the answer.

But we can still check to confirm:

If we substitute this back into the general equation, we get:

y = (2/3)x + b

In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (6,1)

1 = (2/3)(6) + b

1 = 4 + b

b = -3

Confirm  Y = 2/3x - 3 is the answer.

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(((((2*(x^2))+6x)-7x)+8)-3x^2)+1 \\ \\ ((((2x^2 +  6x) -  7x) +  8) -  3x^2) +  1 \\ \\ we \ would \ then \ (pull \ out) \ like \ terms. \\ \\   -x^2 - x + 9  =   -1 * (x^2 + x - 9) \\ \\   \left[\begin{array}{ccc}   -9    +    1    =    -8 \\
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I hope this helps you!
3 0
3 years ago
Read 2 more answers
Peyton's field hockey team wins 4 games out of every 7 games played. Her team lost 9 games. How many games did Peyton's team pla
andre [41]

Answer:

Games played= 21 games

Step-by-step explanation:

Giving the following information:

Peyton's field hockey team wins 4 games out of every 7 games played.

We know that Peyton's team loses 3 games out of 7.

So if the team lost 9 games, the proportion is completed 3 times.

Games played= 3*7= 21 games

4 0
3 years ago
Which is the equation of a line in point-slope form given the following two points (6,15) and(11,27.5)
aleksklad [387]

Answer:

y = 2.5x + 0

Step-by-step explanation:

Use the slope formula and slope-intercept form y = mx + b to find the equation.

3 0
2 years ago
What is the fraction of 35%
Tanzania [10]
Percentage is out of a 100. Therefore, 35/100
Simplify 35/100
Becomes 7/20
Fraction of 35% is 7/20
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3 years ago
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Pachacha [2.7K]

Answer:

1. C

2. B

3. B

4. A

6 0
2 years ago
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