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anastassius [24]
3 years ago
14

Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15

Mathematics
1 answer:
xenn [34]3 years ago
7 0

Step-by-step explanation:

Equation of a line is y = mx + b

where

m is the slope

b is the y intercept

<u>First question</u>

<h3>a.)</h3>

y = 3x - 4

Comparing with the general equation above

Slope / m = 3

The y intercept / b = - 4

<u>Second question</u>

<h3>b).</h3>

4x - 5y = 15

First we must write the equation in the general equation above by making y the subject

That's

5y = 4x - 15

Divide both sides by 5

That's

\frac{5y}{5}  =  \frac{4}{5} x -  \frac{15}{5}

We have

y =  \frac{4}{5} x - 3

Comparing with the general equation above

Slope = 4/5

Y intercept = - 3

Hope this helps you

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The perimeter of a rectangle must be less than 170170 feet. If the length is known to be 4444 feet, find the range of possible w
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\huge \boxed{\mathfrak{Question} \downarrow}

Factor each of the following differences of two squares and write your answer together with solution.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

<h3><u>1. x² - 36</u></h3>

\sf \: x ^ { 2 } - 36

Rewrite \sf\:x^{2}-36 as x^{2}-6^{2}. The difference of squares can be factored using the rule:\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}

__________________

<h3><u>2. 49 - x²</u></h3>

\sf \: 49 - x ^ { 2 }

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\sf \: \left(7-x\right)\left(7+x\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}

__________________

<h3><u>3. 81 - c²</u></h3>

\sf \: 81 - c ^ { 2 }

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\boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}

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<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>

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\boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}

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