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3 years ago

Given the two points (3, -1) and (5,3), explain how to write the equation of the line in slope intercept form.

Mathematics

2 answers:

kakasveta [241]3 years ago

7 0

Can you add an image please?

katrin2010 [14]3 years ago

3 0

1. To find slope use the slope equation which would be (3 - -1)/ (5-3). The slope is m = 4\2 which is m = 2

2. Plug in one of the points to find the y-intercept. Using the point (5,3) , you would plug this point into the slope intercept equation, along with the slope which was found. 3= (2 x 5) +b. Solving this equation b=-7

3. The slop intercept form is y = 2x - 7

I hope this is the right answer!

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3 12 fraction minus 8 12

Alexus [3.1K]

If you are saying:
(3/12) - (8/12)
Then since their denominators are the same we can subtract the numerators to get our answers.

3 - 8 = -5

Following the rule of adding and subtracting fractions, the denominators will not change unless they are different.

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3 years ago

Suppose that 7% of the general population has a disease and that the test for the disease is accurate 70% of the time. What is t

nika2105 [10]

Answer:

0.049

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Step-by-step explanation:

The probability of having the disease is equal to 7%

The probability of testing positive, having the disease is equal to 70%

We are looking for the probability of testing positive.

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3 years ago

Please help me!!

Savatey [412]

Given:

Points on the line are (5, 7) and (5, -5).

To find:

Equation of a line parallel to line l.

Solution:

Let us first find the slope of line l.

Slope of the line formula:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{-5-7}{5-5}$

$$m=\frac{-12}{0}$

m = undefined

The line intersects at x-axis, so the y-intercept is 0.

Equation of line l is x = 5.

<em>If two lines are parallel, then their slopes are equal.</em>

In the option, find the line which also have slope undefined.

Option A: x = 5y

Divide by 5 on both sides, we get

$$\frac{x}{5} =y$

Here slope is $\frac{1}{5}$ . So it is not parallel to line l.

Option B: x = -2

Here, the slope is undefined. It also passes through the x-axis.

Therefore, it is parallel to line l.

Option C: y = 5

Here, the line passes through y-axis.

So, it is not parallel to line l.

Option D: y = -5x.

Here, the slope is -5.

So, it is not parallel to line l.

Hence x = -2 is and equation for a line that is parallel to line l in the graph.

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3 years ago

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Kruka [31]

Answer: 5730

Step-by-step explanation: If the fossil has 50% of the carbon-14 remaining. (Or half) Than a whole half life has passed.

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4 years ago

What is the distance between (8,5) and (-1.-8)

Step2247 [10]

Answer:

5√10

Step-by-step explanation:

Let's join these two points so that they make a right triangle. The distance between these points will be the hypotenuse of the right triangle. The legs will be 8 - (-1) = 9 and 5 - (-8) = 13. Now, using the Pythagorean Theorem, we can find the hypotenuse. We have 9² + 13² = c² (c is the hypotenuse). When we solve for c, we get c = 5√10. Hope this helps!

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4 years ago