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KiRa [710]
3 years ago
10

Need help asap !!! Write an equation of the line below.

Mathematics
2 answers:
prohojiy [21]3 years ago
8 0

9514 1404 393

Answer:

  y = -1/3x +4

Step-by-step explanation:

The graph of the line has two points marked on it.

  (x1, y1) = (-6, 6) . . . . . left point

  (x2, y2) = (0, 4) . . . . right point, and y-intercept

The slope of the line is the ratio of the differences:

  m = (y2 -y1)/(x2 -x1)

  m = (4 -6)/(0 -(-6)) = -2/6 = -1/3

The y-intercept is the y-value where the line crosses the y-axis. Here, that y-value is 4.

In the slope-intercept form of the equation for the line, the slope is called <em>m</em>, and the y-intercept is called <em>b</em>. For this line, we have m=-1/3, b=4.

The equation is ...

  y = mx +b

  y = -1/3x +4 . . . . . the equation you're looking for

aliina [53]3 years ago
4 0

Answer: y intercept =  y=-1/3x+4, point-slope = (y-6)=-1/3(x+6)

Step-by-step explanation:

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Hello russell6333!

\huge \boxed{\mathfrak{Question} \downarrow}

Solve for x.

  1. 144 = 12x
  2. 45 = 4x - 27
  3. 2x - 2 = 14
  4. 12x = 44 - 10x

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

1) \:  \:  \: 144 = 12x \\  \frac{144}{12}  = x \\ \boxed{ \boxed{  \bf12 = x}}

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2) \:  \:  \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\  \frac{72}{4}  = x \\  \boxed{ \boxed { \bf18 = x }}

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3) \:  \:  \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x =  \frac{12}{2}  \\ \boxed{  \boxed{ \bf \: x = 6}}

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4) \:  \:  \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x =  \frac{44}{22}  \\  \boxed{\boxed{  \bf \: x = 2}}

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<h3><u>NOTE </u><u>:</u><u>-</u></h3>
  • To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.
  • Remember that the signs & operations will change when you bring a term to the other side of the equation.
  • So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.

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