Answer:
(0,2.5), (-1.25,0) and (3,8.5)
Step-by-step explanation:
we have
[tex]-4x+2y-5=0[/tex]
This is a linear equation (equation of a line)
If a ordered pair is a solution of the linear equation, the the ordered pair must satisfy the linear equation
1) Find the y-intercept
The y-intercept is the value of the y when the value of x is equal to zero
For x=0
substitute the value of x in the linear equation and solve for y
[tex]-4(0)+2y-5=0[/tex]
[tex]2y=5[/tex]
[tex]y=2.5[/tex]
The ordered pair is (0,2.5)
2) Find the x-intercept
The x-intercept is the value of the x when the value of y is equal to zero
For y=0
substitute the value of y in the linear equation and solve for x
[tex]-4x+2(0)-5=0[/tex]
[tex]-4x=5[/tex]
[tex]x=-1.25[/tex]
The ordered pair is (-1.25,0)
3) Assume any value of x or y and solve for the other variable
For x=3
[tex]-4(3)+2y-5=0[/tex]
[tex]-12+2y-5=0[/tex]
[tex]2y=17[/tex]
[tex]y=8.5[/tex]
The ordered pair is (3,8.5)
