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tigry1 [53]
2 years ago
13

Write the slope intercept form of the equation of each line

Mathematics
2 answers:
lianna [129]2 years ago
8 0

Answer:

<u>Equation</u><u> </u><u>is</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>6</u>

Step-by-step explanation:

y = mx + c

m is slope, and c is y-intercept:

slope =  \frac{y _{2} - y _{1} }{x _{2}  - x _{1} }

(x1, y1) = (1, -1)

(x2, y2) = (0, -4)

m =  \frac{ - 4 - 1}{0 - 1}  \\  \\ m = 5

for y-intercept, consider (1, -1):

y = mx + c \\  - 1 = (5 \times 1) + c \\  - 1 = 5 + c \\ c =  - 6

substitute in general equation:

y = 5x - 6

jonny [76]2 years ago
5 0
Y = 2x - 4 is the answer
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2 years ago
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Step-by-step explanation:

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3 years ago
The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)
Virty [35]

Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

a_n=a_1+d(n-1)

where a_1 is the first term and d is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is a_n.

So the answer is true.

----

You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

a_1=9.5+2(1-1)

a_1=9.5+2(0)

a_1=9.5+0

a_1=9.5

Let n=2:

a_2=9.5+2(2-1)

a_2=9.5+2(1)

a_2=9.5+2

a_2=11.5

Let n=3:

a_3=9.5+2(3-1)

a_3=9.5+2(2)

a_3=9.5+4

a_3=13.5

Let n=4:

a_4=9.5+2(4-1)

a_4=9.5+2(3)

a_4=9.5+6

a_4=15.5

Let n=5:

a_5=9.5+2(5-1)

a_5=9.5+2(4)

a_5=9.5+8

a_5=17.5

Let n=6:

a_6=9.5+2(6-1)

a_6=9.5+2(5)

a_6=9.5+10

a_6=19.5

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

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3 years ago
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Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total order for shipping.
djyliett [7]

Answer: She should sell each T-Shirt for at least $4.41

Step-by-step explanation:

First you need to figure out what the total cost of the 200 t shirts was plus shipping. so 200 t shirts for 2.8 would cost $560 + a 5% shipping fee ($28) = 588 if she wants to markup by 150. you would then multiply 588 * 1.5 = $882. This would be the final money she wants to make by the end of her school carnival. Divide 882/200 (amnt of t-shirts) to get $4.41 per shirt

4 0
2 years ago
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