The equation for the lines whose graph is depicted below is y = x/2.
How to write the equations for the lines?
In order to write the equations for these straight lines, we would have to determine the slope of the straight lines.
How to calculate the slope of a line?
Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
From the graph (see attachment), we have the following data:
Points on x-axis = (0, 2).
Points on y-axis = (0, 1).
Substituting the given points into the formula, we have;
Slope, m = (1 - 0)/2 - 0)
Slope, m = 1/2.
Mathematically, the standard form of the equation of a straight line is given by;
y - y₁ = m(x - x₁)
At point (2, 1), we have:
y - 1 = 1/2(x - 2)
y - 1 = x/2 - 1
y = x/2 - 1 + 1
y = x/2.
Read more on slope here: https://brainly.com/question/11586413
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