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Alex777 [14]
2 years ago
11

Write the equation of the line in fully simplified slope-intercept form

Mathematics
1 answer:
DochEvi [55]2 years ago
6 0

Answer:

y = 3x - 7

Step-by-step explanation:

Slope - Intercept Form :  y = mx+b

m = slope

b = y - intercept

Slope =  \frac{rise}{run}

          = \frac3{1}

          = 3

So far:   y = 3x + b

Plug in a point from the graph, ex. (3,2)

2 = 3(3) + b\\\\2 = 9 + b\\\\b = -7

Equation :   y = 3x - 7

-Chetan K

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<h3>The given expression can be written in the form q(x)+\frac{r(x)}{b(x)} as (2x^2-x+3)+\frac{0}{x-3} where  q(x)=2x^2-x+3 , r(x)=0 and b(x)=x-3</h3>

Step-by-step explanation:

Given rational expression is \frac{2x^3-7x^2+6x-9}{x-3}

<h3>To rewrite the given rational expression in the given form  and match their correct expressions:</h3>

Rewrite the given rational expression \frac{2x^3-7x^2+6x-9}{x-3} in the form of q(x)+\frac{r(x)}{b(x)} where q(x) is the quotient, r(x) is the remainder and b(x) is the divisor.

<h3>Now solve the given expression by using Synthetic division, we get</h3>

Since x-3 is a factor for 2x^3-7x^2+6x-9

<h3>Therefore b(x)=x-3</h3>

3_|   2     -7     6     -9

       0      6    -3      9

   ------------------------------------

      2      -1       3      0

  ------------------------------------

Therefore we have quadratic equation 2x^2-x+3=0

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It is in the form of q(x)+\frac{r(x)}{b(x)}

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