What can be concluded about the line represented in the table? Check all that apply.

Mathematics

2 answers:

Elina [12.6K]3 years ago

8 0

Answer:

The slope is 1/2
The points (-2,-5) and (8,0) are also on the line

Step-by-step explanation:

According to the table there are ordered pairs:

(-6, - 7), (2, - 3), (8, 0)

Find the slope using two points:

m = (- 3 - (-7)) / (2 - (-6)) = 4/8 = 1/2

Use one point to complete the equation:

y - (-7) = 1/2(x - (-6))
y + 7 = 1/2x + 3
y = 1/2x - 4

So the slope is 1/2 and the y-intercept is (0, - 4)

Verify the points (-2, -5), (- 5, -2), (1, 10):

-5 = 1/2(-2) - 4 ⇒ - 5 = - 1 - 4 ⇒ - 5 = - 5, yes
-2 = 1/2(-5) - 4 ⇒ - 2 = - 2.5 - 4 ⇒ - 2 = - 6.5, no
10 = 1/2*1 - 4 ⇒ 10 = 0.5 - 4 ⇒ 10 = - 3.5, no

Now, correct answer choices are:

The slope is 1/2
The points (-2,-5) and (8,0) are also on the line

motikmotik3 years ago

6 0

The slope is 2.

The slope is 1/2.

The y intercept is 4.

The y intercept is 8

The points (-2,-5) and (8,0) are also on the line

The points (-5,-2) and (1,10) are also in the line.

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zimovet [89]

Using the given endpoint R (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)

Explanation :

Use the given endpoint R and the midpoint M of segment RS

R (8, 0 ) and M (4, -5 )

Let 'S' be (x2,y2)

Apply the midpoint formula

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\$

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Substitute the values and make it equal to M(4,-5)

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\\(\frac{8+x_2}{2},\frac{0+y_2}{2} )=(4,-5)\\\\\frac{8+x_2}{2}=4\\8+x_2=8\\x_2=8-8=0\\x_2=0\\\\\\\frac{0+y_2}{2} =-5\\y_2=-10$