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Svetllana [295]
2 years ago
14

What is an equation of the line that passes through the points (0,7) and (5,4? Put your answer in fully reduced form.

Mathematics
1 answer:
gregori [183]2 years ago
4 0

Answer <u>(assuming it can be in slope-intercept format)</u>:

y = -\frac{3}{5} x+7  

Step-by-step explanation:

When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or y = mx + b.

1) First, find the slope of the equation. Use the slope formula, m = \frac{y_2-y_1}{x_2-x_1}, to find the slope. Substitute the x and y values of the given points into the formula and simplify:

m = \frac{(4)-(7)}{(5)-(0)} \\m = \frac{4-7}{5-0} \\m = \frac{-3}{5}

Thus, the slope is -\frac{3}{5}.

2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation  y = mx + b. Substitute m and b for real values.

Since m represents the slope, substitute -\frac{3}{5}  in its place in the equation. Since b represents the y-intercept, substitute 7 in its place. This gives the following equation and answer:

y = -\frac{3}{5} x+7

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Answer:

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Assuming:

H0: \mu \geq 20

H1: \mu

p_v = P(Z

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

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