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Elden [556K]
2 years ago
12

The equation y + 6 = 1/3(x-9). Which equation written in slope-intercept form

Mathematics
1 answer:
andriy [413]2 years ago
4 0

Answer:

It is. Y=1/3x-3

Step-by-step explanation:

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Explanation:

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A line passes through the points (-1, -1)
Allisa [31]

Given:

A line passes through the points (-1, -1) and (5,8).

To find:

Which points lie on the same line?

Solution:

If a line passes through two points, then the equation of the line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:

y-(-1)=\dfrac{8-(-1)}{5-(-1)}(x-(-1))

y+1=\dfrac{8+1}{5+1}(x+1)

y+1=\dfrac{9}{6}(x+1)

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Multiply both sides by 2.

2(y+1)=3(x+1)

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2y=3x+3-2

y=\dfrac{3}{2}x+\dfrac{1}{2}

So, the equation of the line is y=\dfrac{3}{2}x+\dfrac{1}{2}.

Now, check each point for this equation.

Putting x=-3, we get

y=\dfrac{3}{2}(-3)+\dfrac{1}{2}

y=\dfrac{-9+1}{2}

y=\dfrac{-8}{2}

y=-4

Similarly,

For x=9,y=15.

For x=1,y=2.

For x=4,y=6.5.

For x=3,y=5.

For x=-2,y=-2.5.

Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.

6 0
3 years ago
Y=-3x2 + x + 17<br> axis of symmetry?
cupoosta [38]

Answer:

1/6

Step-by-step explanation:

The x-coordinate of the vertex is always the x-value of the axis of symmetry. The vertex can be found by x=\frac{-b}{2a}. If we look at this equation as y=ax^{2} +bx+c,

b=1 and a=-3.

When you plug those values into the x equation you get x=\frac{1}{6}.

7 0
3 years ago
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