Answer:
<em>y = -3x+4</em>
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Step-by-step explanation:
Slope intercept form of a line is given by y = mx + b
Where
m is the slope
b is the y intercept.
To find m, we need to take any arbitrary 2 points and see how many units up/down and how many units right/left we need to go from one to another. <em>Basically change in y by change in x.</em>
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Let's take 2 arbitrary points: (0,4) & (2,-2)
So we need to go -6 units from y = 4 to y = -2. We need to go 2 units from x = 0 to x = 2.
Hence slope is change in y by change in x, which is -6/2 = -3
b is the y-interceept, the place where it cuts the y axis. Looking at the graph, it is at y = 4
<em>Now we can write the equation as :</em>
<em>y = -3x+4</em>