Question

Complete the point-slope equation of the line through (-4, 8) and (4, 4).
Use exact numbers.

Answer 1

Answer:

y-4 = -1/2(x-4)

Step-by-step explanation:

Point slope form is y-y1 = m*(x-x1)

To find m, m=(y2-y1)/(x2-x1)

m=(4-8)/(4-(-4)) = -4/8 = -1/2

The equation is, y-4 = -1/2(x-4)

Answer 2

The equation of line is, $y=-\frac{1}{2} x+6$

The equation of line is given in slope point form is,

                                      $y=mx+c$ , where m is slope of line.

      $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{4-8}{4+4}=\frac{-4}{8}=-\frac{1}{2}$

So, equation of line become,

                                              $y=-\frac{1}{2}x+c$

Since, above line passing through point (4, 4)

So that,      

                  $4=-\frac{1}{2}*4+c\\\\c=4+2=6$

Hence, equation of line is, $y=-\frac{1}{2} x+6$

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