Answer:
y = -x
Step-by-step explanation:
Slope-Intercept Form
The slope-intercept form of a linear equation is
y = mx + b,
where m is the slope (rate of change) and b is the y-intercept (the line's value crosses the y-axis).
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Solving the Problem
Slope
The line shows us the graph which crosses the origin (0,0) and the point (4, -4).
From this, we can find the slope using the slope formula:
[tex]slope = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-0}{4-0} =-1[/tex].
So, m = -1.
Y-Intercept
The graph shows that the line only crosses the y-axis at the origin where its y-value is 0, so b = 0.
Putting it Together
Thus, the equation of the line is y = -1x + 0 or
y = -x.
