The equation of the given graph will be y=-3/2x+3 so none of the options will be correct.
How to plot a graph?
A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
The point of intersection of the line and x-axis = (2,0)
The point of intersection of the line and y-axis = (0,3)
The slope of the graph or line
Slope = differcne in ys coordinate/difference in xs coordinate
Slope(m) = (3-0)/(0-2) = -3/2
Now equation of a line is given by
y = mx + c
Now keep point (2,0) and slope-3/2
0 = (-3/2)2 + c
c = 3
So, the equation would be
y = (-3/2)x + 3
Hence, The equation of the given graph will be y=-3/2x+3
For more information about the graph of a function,
brainly.com/question/27757761
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