The equation of line will be -
y = [tex]-\frac{1}{2} x[/tex] + 2
We have a graph as shown in the figure.
We have to find out the equation of this straight line in the graph.
What is the general form of the equation of a Straight line?
The general form of a equation of a straight line is -
y = mx + c
where -
m - slope of line
c - the y - intercept
We have -
The y intercept of the straight line as = (0, 2)
The x intercept of the straight line as = (4, 0)
The slope of the line will be m = [tex]\frac{2 - 0}{0 - 4}[/tex] = - [tex]\frac{1}{2}[/tex]
The y-intercept is at (0, 2) , therefore the value of c = 2.
Substituting the values in the general equation of line we get -
y = mx + c
y = [tex]-\frac{1}{2} x[/tex] + 2
Hence, the equation of line will be -
y = [tex]-\frac{1}{2} x[/tex] + 2
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