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Neko [114]
3 years ago
15

1. Write the equation of the line with a slope of -5 and a y-intercept of (0,3). 2. Write the equation of the line with a slope

of -1/3 and passing through the point (6, -4). 3. Write the equation of the line passing through the points (0, -4) and (-2, 2). 4. Write the equation of the line passing through the points (-6,1) and (-4,2). 5. Write the equation of the line with an undefined slope, passing through the point (2, 5). Hint: refer back to lesson 4.04 for help with this one.
Mathematics
1 answer:
alexandr402 [8]3 years ago
4 0

Answer:

Step-by-step explanation:

1) The equation of a line is given by y = mx + c, where m = slope or gradient and c is intercept on y - axis. Given in this question, m = -5 and c = 3. Subtituting this in the equation y = mx + c, we have y = -5x + 3, therefore, the equation of the line is y = -5x + 3 or y + 5x = 3

2) The equation of a line is given as y-y1 = m(x-x1), where x1 = 6, y1 = -4 and m = -1/3. The equation of the line is y - -4 = -1/3(x - 6)

   y+4 =-1/3(x-6)

  3(y+4)= -1(x-6)

  3y + 12 = -x+6

  x+3y=6-12

   x+3y= -6, therefore the equation of the line is x+3y = -6

3) The equation is y-y1=m(x-x1), where m=(y2-y1)/(x2-x1)=

(2- -4)/(-2-0)=6/-2=-3

     y- -4= -3(x-0)= -3x

    y+4= -3x

     y+3x= -4

4) y-y1=m(x-x1)    

  m=(2-1) /(-4- -6)=1/2

  y-1=1/2(x- -6)

  y-1=1/2(x+6)

 2(y-1) = x+6

 2y-2=x+6

2y-x =6+2=8     2y-x=8

5) The equation is with undefined slope passing through (2, 5) is

       x-2=0

       x=2

   

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Answer:

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Step-by-step explanation:

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Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope fo
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Answer:

\displaystyle y-5=-\frac{10}{9}(x+6)

Or:

\displaystyle y+5=-\frac{10}{9}(x-3)

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

y-y_1=m(x-x_1)

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\displaystyle y-5=\frac{-10}{9}(x+6)

Using the other point, we will acquire:

\displaystyle y-(-5)=-\frac{10}{9}(x-(3))

Or, simplified:

\displaystyle y+5=-\frac{10}{9}(x-3)

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