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Andrews [41]
2 years ago
7

Find an equation for the line that passes through the points (-4, -1) and (6, 3)

Mathematics
2 answers:
Anarel [89]2 years ago
5 0

Answer:

y = (2/5)x + 3/5

Step-by-step explanation:

<u>Points to remember </u>

Equation of the line passing through the poits (x1, y1) and (x2, y2)  and slope m is given by

(y - y1)/(x - x1) = m    where slope m = (y2 - y1)/(x2 - x1)

<u>To find the slope of line </u>

Here (x1, y1) =  (-4, -1) and  (x2, y2) = (6, 3)

Slope = (y2 - y1)/(x2 - x1)

 = (3 - -1)/(6 - -4)

 = 4/10 = 2/5

<u>To find the equation </u>

(y - y1)/(x - x1) = m  

(y - -1)/(x - -4) = 2/5

(y + 1)/(x + 4) = 2/5

5(y + 1) = 2(x + 4)

5y + 5 = 2x + 8

5y = 2x + 3

y = (2/5)x + 3/5

skad [1K]2 years ago
3 0

Answer:

y=2/5x+3/5

Step-by-step explanation:

Use the slope formula to get the slope:

m=4/10

m=2/5

The y intercept is 3/5

The equation is y=2/5x+3/5

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Could anyone explain to me about adding and subtracting exponents. I don’t understand these equations with their exponents!
meriva

Answer:

whenever you're multiplying terms that have exponents you multiply the coefficients and add their exponents:

Step-by-step explanation:

I think the answer to your first question should be:

30a²b - 30ab²

Your second answer is good

whenever you're multiplying terms that have exponents you multiply the coefficients and add their exponents:

for example, 6a²b³c x 2abc = 6(2)(a²)(a)(b³)(b)(c)(c)

= 12a³b⁴c²

8 0
2 years ago
Can someone tell me what’s going on here
lora16 [44]

Answer:

c = 105 degres

Step-by-step explanation:

When two lines cross like that and form an x, the opposite sides are equal (so the angle below the 75 degree one is also 75 degees). Using this, you can figure out the rest.

If both the top an bottom are equal, you know that 150 degres are taken (75+75) and you know that there can only be 360 degres in total here, so you subtract 150 from 360 and get 210. Now you know that the last two sides together are 210, and since they are equal, you divide it by two to get 105 degrees.

8 0
2 years ago
Use the rule to write the first five terms of the pattern.
scoray [572]
Add 10 then subtract 5 gives:  11, 21, 16, 26, 21

add 10 and subtract 5 gives: 11, 16, 21, 26, 31
5 0
3 years ago
Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = π/ 2 ?
Aneli [31]
That answer was (B)................
3 0
3 years ago
Please help soon! Thanks! Solve for x
spin [16.1K]

Answer:

x=27\degree

Step-by-step explanation:

\because AC || DE.... (given)

\therefore m\angle CAD= m\angle EDF\\ (corresponding \: \angle s)

\therefore m\angle BAD= m\angle EDF\\(\because B\in \overleftrightarrow{AC})

\therefore m\angle BAD= 2x\\(\because m\angle EDF=2x)

In\:\triangle BAD,

m\angle BAD+m\angle BDA+m\angle ABD= 180\degree

2x+2x+72\degree = 180\degree

4x= 180\degree -72\degree

4x= 108\degree

x= \frac {108\degree}{4}

x=27\degree

5 0
2 years ago
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