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Ksju [112]
3 years ago
8

Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for

m.
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Point-slope form of equation is: y - 7 = -15(x-1)

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15

Point-slope form is given by:

y-y_1 = m(x-x_1)

Putting the value of slope

y-y_1 = -15(x-x_1)

We can put any one of two given points in the equation to find the final form of point-slope form

So

Putting (1,7) in the equation

y - 7 = -15(x-1)

Hence, point-slope form of equation is: y - 7 = -15(x-1)

Reducing and simplifying

y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

  • brainly.com/question/6200750
  • brainly.com/question/568302

#LearnwithBrainly

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