Answer:
y = [tex]-\frac{1}{2}[/tex] x + 2
Step-by-step explanation:
Two parallel lines share the same slope, so the slope of this parallel line will also be [tex]-\frac{1}{2}[/tex].
Now, you'll have to find the y-intercept. But, to make sure your line also goes through the point (-2, 3), plug them into the x and y values:
y = mx + b
3 = (-1/2) (-2) + b
3 = 1 + b
b = 2
Now you can plug the y-intercept and slope into the slope-intercept formula:
y = [tex]-\frac{1}{2}[/tex] x + 2
