Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex]-2x+2y=4[/tex]
To find the y-intercept, the equation must be in the format of [tex]y=mx+b[/tex], in which [tex]b[/tex] is representative of the y-intercept.
Start by adding [tex]2x[/tex] to both sides of the equation:
[tex]2y=2x+4[/tex]
Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]2[/tex]:
[tex]y=x+2[/tex]
[tex]b=2[/tex]
Therefore, the y-intercept of the line is 2.
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You can check your work by graphing, and identifying where your line crosses the y-axis (circled in the image).
