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umka21 [38]
2 years ago
13

4

Mathematics
1 answer:
Maru [420]2 years ago
5 0

First, we have to understand the slope-intercept form.

\large \boxed{y = mx + b}

A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.

In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.

<em>W</em><em>h</em><em>i</em><em>c</em><em>h</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>r</em><em>e</em><em>p</em><em>r</em><em>e</em><em>s</em><em>e</em><em>n</em><em>t</em><em>s</em><em> </em><em>a</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em>a</em><em>r</em><em> </em><em>f</em><em>u</em><em>n</em><em>c</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>t</em><em>h</em><em>a</em><em>t</em><em> </em><em>h</em><em>a</em><em>s</em><em> </em><em>a</em><em> </em><em><u>s</u></em><em><u>l</u></em><em><u>o</u></em><em><u>p</u></em><em><u>e</u></em><em><u> </u></em><em><u>o</u></em><em><u>f</u></em><em><u> </u></em><em><u>5</u></em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>a</em><em> </em><em><u>y</u></em><em><u>-</u></em><em><u>i</u></em><em><u>n</u></em><em><u>t</u></em><em><u>e</u></em><em><u>r</u></em><em><u>c</u></em><em><u>e</u></em><em><u>p</u></em><em><u>t</u></em><em><u> </u></em><em><u>o</u></em><em><u>f</u></em><em><u> </u></em><em><u>-</u></em><em><u>6</u></em><em><u>.</u></em>

As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.

Therefore, substitute m = 5 and b = -6 in the equation.

\large{y = mx + b \longrightarrow \bold{y = 5x + ( - 6)}} \\  \large \boxed{ \tt{ \purple{y = 5x - 6}}}

I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!

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Karo-lina-s [1.5K]

Answer:

Perimeter of the rectangle = 8 x +4

Length of the rectangle = 12 units.

Step-by-step explanation:

Let the width of the rectangle as 'x' units.

So, length of the rectangle is 2 more than 3 x.

We can set up expression for length as 3 x+2.

Now, perimeter is sum of all side lengths of the rectangle.

So, perimeter = x+x+3 x+2 +3 x+2

Combine like terms,

Perimeter = 8 x+4

Now, it is given perimeter is 36cm

So,

8 x+4=36

Subtract both sides 4

8 x=32

Divide both sides by 8

x=4

So, width of the rectangle =4

Length =3(4) +2=14

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