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3 years ago

Find the equation of the line shown

Mathematics

2 answers:

Mariana [72]3 years ago

4 0

Answer:

From the graph, the y-intercept is 9 and the slope is -1 so the equation is y = -x + 9. We know the slope is -1 because when x goes up by 1, y decreases by 1.

tigry1 [53]3 years ago

4 0

Step-by-step explanation:

When we know both the x- and y-intercepts of a line, we can conveniently use the intercept form.

Let

A=x-intercept=9

B=y-intercept=9

the intercept form of the equation is therefore

x/A + y/B =1

substituting numerical values,

x/9 + y/9 =1 ..........................(1)

Factoring the identical denominators

(x+y)/9 = 1

Cross multiply

x+y = 9 ...............................(2)

Both (1) and (2) are valid forms of equation of the given line.

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m_a_m_a [10]

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4 years ago

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3 years ago

Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x

Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

<u>Vertex form</u>

$y=a(x-h)^2+k$

(where (h, k) is the vertex)

Given:

vertex = (1, -108)

$\implies y=a(x-1)^2-108$

Given:

y-intercept = (0, -105)

$\implies a(0-1)^2-108=-105$

$\implies a(-1)^2=-105+108$

$\implies a=3$

Therefore:

$\implies y=3(x-1)^2-108$

The x-intercepts are when y = 0

$\implies 3(x-1)^2-108=0$

$\implies 3(x-1)^2=108$

$\implies (x-1)^2=36$

$\implies x-1=\pm \sqrt{36}$

$\implies x=1\pm 6$

$\implies x=7, x=-5$

Therefore, the x-intercepts are (7, 0) and (-5, 0)

7 0

2 years ago

X + 8y = 18 and — 5x + 3y = -4

atroni [7]

X+8y=18
-5x+3y=-4

Multiply the first equation by 5
Add the two equations together

5x+40y=90
-5x+3y=-4
43y=86
Y=2

Plug y into one equation to find x
X+16=18
X=2

5 0

3 years ago

Read 2 more answers

The circumference of a fountain is 63 feet. What is the approximate diameter?

Alik [6]

Answer:

Approximantly 20

Step-by-step explanation:

Circumference = pi times diameter

63/pi = diameter

Answer: 20.0535228

3 0

3 years ago