Answer:
y = -2x + 3
Step-by-step explanation:
The slope intercept equation of a straight line is [tex]y=mx+b[/tex],
where m is the slope and b is the y-intercept.
Therefore, the slope of [tex]y=4-2x[/tex] is -2.
If a line is parallel to another line, they have the same slope.
Therefore, the slope (m) of the new line is also -2.
Using the point-slope form of a linear equation, where m = -2 and
[tex](x_1,y_1)[/tex] is a point on the line (2, -1):
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y+1=-2(x-2)[/tex]
[tex]\implies y=-2x+3[/tex]
