To find the equation of line take any two points on graph,
Point A = (0,3) = (X1,Y1)
Point B = (3,0) = (X2,Y2)
Y intercept is = 3,
Now find the slope of line using two point formula,
[tex]Slope = \frac{Y2-Y1}{X2-X1} \\ \
Slope = \frac{3-0}{0-3} = -1[/tex]
Equation of the line in standard form is,
[tex]Y - Y1 = m(X - X1)[/tex]
where m is the slope of line!
Now substituting Y1, m, X in above equation!
[tex]Y - Y1 = m(X - X1) \\ Y - 3 \: = - 1(X - \: 0) \\ Y - 3 = - X \\
X + Y = 3 \\
Y = 3 - X[/tex]
The equation of line in Slope intercept form,
[tex]\fbox{Y = - X + 3}[/tex]
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