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2 years ago

14

What is the equation of a line that passes through the points (3,6) and (8, 4)?

2 answers:

oksano4ka [1.4K]2 years ago

3 0

Answer:

the one ur on is correct

Step-by-step explanation:

Lera25 [3.4K]2 years ago

3 0

<h2>Answer:</h2>

First, we must determine the slope of the line using <u><em>slope formula*</em></u>.

$m = \frac{4 - 6}{8 - 3} = \frac{-2}{5} = -\frac{2}{5}$

Now that we have our slope, we find the y-intercept, or <u><em>b</em></u>, by pluging in the slope we found and one of the given points into <u><em>slope-intercept form**</em></u>.

$6 = -\frac{2}{5}(3) + b\\\\6 = -\frac{8}{5} + b\\\\ \frac{36}{5} = b$

We can now create the equation of the line.

$m = -\frac{2}{5}$

$b = \frac{36}{5}$

The equation of the line is: $y = -\frac{2}{5}x + \frac{36}{5}$

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1 year ago

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3 years ago

Ella is a landscape photographer. One weekend at her gallery she sells a total of 52 prints for a total of $2,975. A small paint

rosijanka [135]

<h2>Answer:37 paintings of $50 and 15 paintings of $75</h2>

Step-by-step explanation:

Let $x$ be the number of paintings Ella sells for $ $50$ .

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Profit made through $ $50$ paintings is $50x$

Profit made through $ $75$ paintings is $75y$

So,total profit is given by $50x+75y$

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3 years ago

Read 2 more answers

Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

<em>This has been shown in (c) above</em>

3 0

2 years ago