The equation which is graphed in this figure (see attachment) is y + 2 = 4(x - 1).
What is a linear function?
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
What is a graph?
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
How to calculate the slope of a line?
Mathematically, the slope of a 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, the slope is given by:
Slope, m = (-2 - 2)/(-1 - 0)
Slope, m = -4/-1
Slope, m = 4.
Mathematically, the standard form of the equation of a straight line is given by;
y - y₁ = m(x - x₁)
At point (0, 2), we have:
y - 2 = 4(x - 0)
y - 2 = 4(x - 0)
At point (1, -2), we have:
y - (-2) = 4(x - 1)
y + 2 = 4(x - 1).
In conclusion, the equation which is graphed in this figure (see attachment) is y + 2 = 4(x - 1).
Read more on slope here: https://brainly.com/question/11586413
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