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Oksanka [162]
2 years ago
14

Write the slope intercept form equation of the line given in graph

Mathematics
1 answer:
notka56 [123]2 years ago
4 0

Answer:

y = 2/5x -2

Step-by-step explanation:

First, establish two points. I'll use the intercepts for this problem.

(5, 0), (0, -2)

To find slope, divide change in y by change in x.

Change in y --> 0 - (-2) = 2

Change in x --> 5 - 0 = 5

<em>Slope = 2/5</em>

<u>Next, find intercept.</u>

Plug in slope for one of the points and find how you can make that equal to the y coordinate by adding/subtracting

0 · 2/5 + ? = -2

? = -2

<em>y intercept = -2</em>

Or if the line intercepts the y-axis at a definite point like this graph, just find where it intercepts.

<u>Putting it Together</u>

Now just put this into slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

<em>y = 2/5x - 2</em>

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Answer:

16

Step-by-step explanation:

30-10=20

20 divided by 1.25 = 16

8 0
2 years ago
Which values of k are solutions to the inequality StartAbsoluteValue negative k minus 2 EndAbsoluteValue less-than 18? Check all
Stella [2.4K]

Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

IxI = -x if x ≤ 0

Then if we have something like:

IxI < B

We can rewrite this as

-B < x < B

Now let's answer the question, here we have the inequality:

I-k -2I < 18

Then we can rewrite this as:

-18 < (-k - 2) < 18

Now let's isolate k:

first, we can add 2 in the 3 parts of the inequality:

-18 + 2 < -k - 2 + 2 < 18 + 2

-16 < -k < 20

Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:

-1*-16 > -1*-k > -1*20

16 > k > -20

Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

6 0
2 years ago
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Given: Triangle ABC, AC=BC, AB=3, line segment CD is perpindicular to line segment AB, CD= sqrt 3 find AC
TEA [102]

Based on the data given, the length of line segment AC is 2.29

<h3>What is the length of side AC?</h3>

Based on the given data:

  • AC=BC
  • AB=3
  • line segment CD is perpendicular to line segment AB
  • CD= sqrt 3

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

The length of AD = 3/2

AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29

In conclusion, the length of  AC is 2.29

Learn more about line segment at: brainly.com/question/2437195

#SPJ1

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A circular mirror has a diameter of 12 inches. part a what is the area, in square inches, of the mirror?
vovangra [49]
1st part is c
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Find two numbers whose sum is 1 and whose difference is -3.<br> Your answer is:
podryga [215]

Answer:

-2 -4

Step-by-step explanation:

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