Given: The equation below
[tex]4x+y=5[/tex]To Determine: The ordered pair (x,y) for the given equation
To achieve this, we will find both the intercept on y-axis and x-axis.
Calculate the intercept on the x-axis: To get the intercept on the x-axis, make x = 0 in the equation, and find the corresponding value of y as shown below:
[tex]\begin{gathered} 4x+y=5 \\ \text{Make x=0} \\ 4(0)+y=5 \\ 0+y=5 \\ y=5 \end{gathered}[/tex]The coordinate of the intercept on the x-axis is (0,5)
Calculate the intercept on the y-axis: To get the intercept on the y-axis, make y = 0 in the equation, and find the corresponding value of y as shown below: