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lesantik [10]
3 years ago
9

What is the slope and y intercept of the linear function graphed below? Answer slope as m = ______________; answer y intercept a

s b = ______________. *

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0

Answer:

Slope (m) = -⁵/4

y-intercept (b) = 1.5

The graph is non-proportional

Step-by-step explanation:

The slope of a graph using the points, (-2, 4) and (2, -1) is calculated as:

m = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 4}{2 -(-2)} = \frac{-5}{4}

✅Slope (m) = -⁵/4

✅y-intercept (y) is the point at which the line intercepts the y-axis = 1.5

✅A proportional graph usually has a line that runs through the point of origin (0, 0). Therefore, the graph is non-proportional.

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Find the slope-intercept form of a line that goes through the point (-1,3) and is parallel to -x+3y=12
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First, I would simplify the given equation to find the slope of the parallel line as it will be the same for the line we are looking for.
3y=x+12
y=(x/3)+4

Slope= 1/3

Our equation now looks close, but we need the intercept.
y=(x/3)+B

Plug in the given point to find the intercept.
3=(-1/3)+B
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Plug all the known values into the equation to complete the slope-intercept form.
y=(x/3)+4/3
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8.3

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If 10% of a number is 44, 5% of the number is
Musya8 [376]

Answer:

Step-by-step explanation:

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A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
saul85 [17]

Answer:

The 95% confidence interval for the true proportion of Gastown residents living below the poverty line is (0.133, 0.2766).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

He takes a simple random sample of 122 people living in Gastown and finds that 25 have an annual income that is below the poverty line. This means that n = 122 and \pi = \frac{25}{122} = 0.205

We have \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.205 - 1.96\sqrt{\frac{0.205*0.795}{122}} = 0.133

The upper limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.205 + 1.96\sqrt{\frac{0.205*0.795}{122}} = 0.133 = 0.2766

The 95% confidence interval for the true proportion of Gastown residents living below the poverty line is (0.133, 0.2766).

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