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3 years ago

Find the slope of the line passing through the points (7,-4) and (2,-1).

Mathematics

1 answer:

Alex787 [66]3 years ago

6 0

Answer:

-3/5

Step-by-step explanation:

Step 1: Set up the formula to find the slope given two points.

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

Step 2: Plug in the values.

$\frac{-1-(-4)}{2-7}$

Step 3: Simplify.

$\frac{-1+4}{-5}$
$\frac{3}{-5}$
$-\frac{3}{5}$

Therefore, the slope is -3/5.

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Answer:

1. There is a numerator and denominator. The numerator is the number on the top and the denominator is the number on the bottom.

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3 years ago

Evaluate 4 divided by 5/6

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3 years ago

Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFr

DiKsa [7]

Answer:

$y=-\frac{1}{3} x+5$

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points $(x_1,y_1)$ and $(x_2,y_2)$ for the line, use them to find the slope of the line that goes through them, with the formula: $slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}$

Therefore, the slope of the line must be $-\frac{1}{3}$

Now, find the y-intercept (b) using the general form of a line with the given slope:

$y=-\frac{1}{3}x +b$

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

$y=-\frac{1}{3} x+b\\6=-\frac{1}{3}(-3)+b\\6=1+b\\b=6-1=5$

then the y-intercept must be 5. Therefore our line is : $y=-\frac{1}{3}x +5$ which appears listed as your second choice.

8 0

3 years ago

Read 2 more answers

How to combine two integers

Genrish500 [490]

The simplest approach to do this is:

Convert both numbers to string

Concatenate both strings into one, as this is comparatively easy

Convert this concatenated string back to integer

Step-by-step explanation:

Given two integers n1 and n2, the task is to concatenate these two integers into one integer.

Example:

Input: n1 = 12, n2 = 34

Output: 1234

Input: n1 = 1, n2 = 93

Output: 193

5 0

4 years ago

30 POINTS!!

MAXImum [283]

Hi, <span>sarastory123!

Use the formula </span> $( \dfrac{b}{2}) ^{2}$ in order to create a new term. Solve for x by using this term to complete the square.

The answer to your equation is x=5± $\sqrt{2}$

-ASIAX <span>Frequent Answerer</span>

3 0

4 years ago