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yan [13]
3 years ago
11

Write the slope-intercept form of the equation for the line.

Mathematics
1 answer:
Fantom [35]3 years ago
5 0
Well, let's take a peek at the graph of that line, hmmm let's pick two points, heck, those tow on the extremes anyway, and those are (-5,2) and (5,-1), alrite.. now, let's do some checking on that.

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ -5}}\quad ,&{{ 2}})\quad 
%   (c,d)
&({{ 5}}\quad ,&{{ -1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-2}{5-(-5)}\implies \cfrac{-1-2}{5+5}
\\\\\\
\cfrac{-3}{10}

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-2=-\cfrac{3}{10}[x-(-5)]
\\\\\\
y-2=-\cfrac{3}{10}(x+5)\implies y-2=-\cfrac{3}{10}x-\cfrac{3}{2}\implies y=-\cfrac{3}{10}x-\cfrac{3}{2}+2
\\\\\\
y=-\cfrac{3}{10}x+\cfrac{1}{2}
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Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 6. The inequality is y = 4 a solut
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Answer:

Inequality to represent given data is y ≥ 5.

No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.

Step-by-step explanation:

Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 6. The inequality is y = 4 a solution.

i) therefore y + 1 ≥ 6

ii) therefore y ≥ 5

iii) No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.

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Nonamiya [84]
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Select the correct answer. if function g has the factors (x − 7) and (x 6), what are the zeros of function g? a. -7 and 6 b. -6
Nimfa-mama [501]

Option (b) -6 and 7 is the correct option.

The zeroes of the function f and g are x=7 and x=-6 respectively.

<h3>What are the zeroes of a polynomial?</h3>

The values of x that satisfy the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case. The degree of the equation f(x) = 0 determines how many zeros a polynomial has.

Put x-7=0

X=7

Now, put x+6=0

So, x=-6

The zeroes of the function f and g are 7 and -6 respectively.

Learn more about zeroes of a polynomial at: brainly.com/question/10702726

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Answer:

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Step-by-step explanation:

Properties of Multiplication:

Commutative:

Multiplying two or more factors in a different order.

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Associative:

Multiplying factors in parenthesis with different grouping. usually to make the problem simpler.

ex: (13 x 4) x 25 = 13 x (4 x 25)

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Distributing a multiplicand to factors in parenthesis.

ex: 2(4 - 1) = 2(4) - 2(1)

ex: 2(8+7) = 2(8) + 2(7)

If my answer is incorrect, pls correct me!

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