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6 votes
Find the equation of the line shown.

y
X
0 1 2 3 4 5 6 7 8 9 10
10
987654321

Find the equation of the line shown. y X 0 1 2 3 4 5 6 7 8 9 10 10 987654321-example-1
User Necros
by
4.4k points

1 Answer

10 votes

Answer:

y = 2x

Explanation:

The graph is of a straight line through the origin. Its slope can be determined from the grid points it passes through. That slope will be the constant of proportionality for the proportion represented.

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When the graph is a line through the origin, it is a representation of a proportion that can have the equation ...

y = kx

where k is the constant of proportionality, also the slope of the line.

The value of k will be the y-value when x=1. Reading from the graph, we find the line goes through point (1, 2), so y = 2 when x = 1. That means k = 2 and the equation of the line is ...

y = 2x

User Ahmad Samilo
by
4.4k points