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2 years ago

Write an equation of the line shown. Then use the equation to find the value of x when y = 26

Mathematics

2 answers:

zimovet [89]2 years ago

6 0

First find slope
(y2-y1)/(x2-x2)
Use points (1,2) and (-1,-6)
(-6-2)/(-1-1) = -8/-2 = 4
Slope int equation: y = mx + b
m = slope, b = y intercept
Plug in what we know (use any point)
2 = 4(1) + b
2 = 4 + b, b = -2
Equation: y = 4x - 2
Plug in y = 26
26 = 4x - 2
28 = 4x, x = 7
Solution: x = 7

stich3 [128]2 years ago

5 0

Answer:

y = 4x - 2

When y = 26, x = 7.

Step-by-step explanation:

Use the two points on the line to calculate the slope of the line, then use this slope and the y-intercept to write an equation for the line.

Slope formula:

(y2 - y1)/(x2 - x1)

We have these two points on the graph: (1, 2), (-1, -6).

Substitute these points into the slope formula and find the slope of the line.

(-6-2)/(-1-1)
(-8)/(-2)
4

The slope of the line is 4. Now, use the point-slope formula to write an equation for the line.

Point-slope formula:

y - y1 = m(x - x1)
y - 2 = 4(x - 1)
y -2 = 4x - 4
y = 4x - 2

To find the value of x when y = 26, substitute y = 26 into the equation and solve for x.

26 = 4x - 2
28 = 4x
x = 7

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3 0

2 years ago

Find the y-intercept of the line below.

ANEK [815]

Y=mx+b, the b is your y-intercept so just rearrange your equation
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your y-intercept would be b) (2/7)

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3 years ago

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract

lisov135 [29]

Answer:

$P(X = 0) = 0.03125$

$P(X = 1) = 0.15625$

$P(X = 2) = 0.3125$

$P(X = 3) = 0.3125$

$P(X = 4) = 0.15625$

$P(X = 5) = 0.03125$

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$