Respuesta :

Here is the work to solve
Ver imagen alexandraschafer

Answer:

[tex]y=-2x+2.5[/tex]

Step-by-step explanation:

we have

[tex]4x+2y=5[/tex] ----> this is the equation of the line in standard form

Convert to a slope-intercept form

Isolate the variable y

Subtract  [tex]4x[/tex] both sides

[tex]4x+2y-4x=-4x+5[/tex]

[tex]2y=-4x+5[/tex]

Divide by [tex]2[/tex] both sides

[tex]2y/2=(-4x+5)/2[/tex]

[tex]y=-2x+2.5[/tex] ------> equation of the line into slope intercept form