To find the x intercept, subsitute 0 for x and slove for y:
\(3x+9y=9\)
\(3(0)+9y=9\)
\(0+9y=9\)
\(9y=9\)
\(\frac{9y}{9}=\frac{9}{9}\)
\(1y=\frac{9}{9}\)
\(y=\frac{9}{9}\)
\(y=1\)
x intersept: (0, 1)
To find the y intercept, subsitute 0 for y and slove for x:
\(3x+9y=9\)
\(3x+9(0)=9\)
\(3x+0=9\)
\(3x=9\)
\(\frac{3x}{3}=\frac{9}{3}\)
\(1x=\frac{9}{3}\)
\(x=\frac{9}{3}\)
\(x=3\)
y intersept: (3,0)
You can also find the x and y intersepts by graphing the equation by subsiting numbers for x and getting aswers for y or subsititing numbers for y and getting answers for x and then plot the points and then connect the points. Click on the following link to see the graph of this equation.