Equation of graph is [tex]y=\frac{1}{4}x+8[/tex].
How to find equation of a plotted graph?
In order to put the equation in y-intercept ([tex]y=mx+b[/tex]) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change. Draw a sloping triangle connecting the two spots you find on the line. Give the triangle's legs names. This will reveal the values for the run (change in x, denominator) and the rise (change in y, numerator). The line's intersection with the y-axis is where the y-intercept originates. The y-intercept, often known as the "b" value, is the coordinate's y-value. In the slope-intercept form of the line, plug in the slope, m, and the y-intercept, b.
For given graph,
Intercept is 8 units ⇒ b=8
Take a triangle with x from 0 to 8 and y from 8 to 10.
[tex]m=\frac{y2-y1}{x2-x1} =\frac{10-8}{8-0} =\frac{2}{8}=\frac{1}{4}[/tex];
[tex]y=\frac{1}{4}x+8[/tex];
Equation of graph is [tex]y=\frac{1}{4}x+8[/tex].
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