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jenyasd209 [6]
3 years ago
8

Write an equation that represents the line. Use exact numbers

Mathematics
1 answer:
mestny [16]3 years ago
7 0

The equation that represents the line is:

y = \frac{5}{6}x+\frac{8}{3}

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}

Equation of line is given by:

y=mx+b

Putting the value of slope

y = \frac{5}{6}x +b

Putting (4,6) in the equation

6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}

Putting the value of b

y = \frac{5}{6}x+\frac{8}{3}

Hence,

The equation that represents the line is:

y = \frac{5}{6}x+\frac{8}{3}

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/537230
  • brainly.com/question/5345266

#LearnwithBrainly

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