Answer:
y-intercept is (0,4) and x-intercept is (2,0).
Step-by-step explanation:
Consider the given equation
[tex]y=-2x+4[/tex]
We need to find the coordinates of the points of intersection of the graphs with coordinate axes.
Substitute x=0 in the given equation to find the y-intercept.
[tex]y=-2(0)+4[/tex]
[tex]y=4[/tex]
y-intercept is (0,4).
Substitute y=0 in the given equation to find the x-intercept.
[tex]0=-2x+4[/tex]
Add 2x on both sides.
[tex]0+2x=-2x+4+2x[/tex]
[tex]2x=4[/tex]
Divide both sides by 2.
[tex]x=2[/tex]
x-intercept is (2,0).
