A line's graph is shown. Write an equation for the line.
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Answer:
[tex]y = 1[/tex]
Step-by-step explanation:
Given
Attached graph
Required
The graph equation
Pick any two points, we have:
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (3,1)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1 - 1}{3 - 1}[/tex]
[tex]m = \frac{0}{2}[/tex]
[tex]m = 0[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 0* (x - x_1) + 1[/tex]
[tex]y = 1[/tex]
Hence, the equation is:
[tex]y = 1[/tex]