Respuesta :
Answer:
B.
I ignored the extra y= part in each equation.
Step-by-step explanation:
The line given is in slope-intercept form, y=mx+b where m is slope and b is y-intercept.
Parallel lines have the same slope.
So the slope of y=(2/5)x+9 is m=2/5.
So we are looking for a line with that same slope.
In slope-intercept form the line would by y=(2/5)x+b where we do not know b since we weren't given a point.
So all of the choices are written in standard form ax+by=c where a,b, and c are integers.
We want integers so we want to get rid of that fraction there. To do that we need to multiply both sides of y=(2/5)x+b for 5. This gives us:
5y=2x+5b
Subtract 2x on both sides:
-2x+5y=5b
Now of the coefficients of x in your choices is negative like ours is. So I'm going to multiply both sides by -1 giving us:
2x-5y=-5b
Compare
2x-5y=-5b to your equations.
A doesn't fit because it's left hand side is 5x+2y.
B fits because it's left hand side is 2x-5y.
C doesn't fit because it's left hand side is 5x-2y.
D doesn't fit because it's left hand side is 2x+5y.
I ignored all the extra y= parts in your equations.
