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Alika [10]
3 years ago
13

A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?

Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0

Hello!

\large\boxed{t = -8}

We can find the value of t using the slope formula:

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Plug in the given slope and coordinates into the appropriate places:

5 = \frac{2-t}{3-1}

Simplify:

5 = \frac{2-t}{2}

Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:

5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8

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4 0
2 years ago
The negative sign in 15t-2t belongs to the term____?
alexdok [17]

The expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

Solution:

Given expressions are 15t – 2t and 2t – 15t.

To determine 15t – 2t is equivalent to 2t – 15t or not.

Substitute t = 2 in above two expressions.

15t – 2t = 15(2) – 2(2)

            = 30 – 4

            = 26

2t – 15t = 2(2) – 15(2)

            = 4 – 30

            = –26

The values of the expressions are different when t = 2.

So, 15t – 2t is not equivalent to 2t – 15t.

Hence the expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

7 0
3 years ago
What is the equation in standards form of the line y=1/9x+5
oksano4ka [1.4K]
X - 9y = -45 i’m not sure what line ? but this is in standard form
8 0
3 years ago
Explain the difference between the opposite of a number and the absolute value of a number
Tanya [424]

Opposite number is like 8 and -8. And absolute value is like -8 and 8 or 9 and 9. The absolute value is always positive.

7 0
3 years ago
Which ordered pair is the solution to the system of equations? {−3x+4y=−20y=x−4 (−4, −8) (4, 8) (−2, −6) (0, −5)
DanielleElmas [232]

Answer:

Step-by-step explanation:

-3x + 4y = -20

y = x - 4

Put the second equation into the first equation in place of y.

-3x + 4 (x - 4) = -20

Multiply everything in the parenthesis by 4.

-3x + 4x - 16 = -20

Combine like terms.

x - 16 = -20

Add 16 to both sides.

x = -4

Put this into the second equation in place of x.

y = -4 - 4

y = -8

Your solution set is (-4,-8).

Hope this helps!

7 0
3 years ago
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