Answer:
y=-2x+14
Explanation:
If we are looking for a line parallel to 2x+y=5.
Then we are looking for an equation with the same slope as the equation 2x+y=5.
To obtain the slope of equaiton 2x+y=5 I will put it in slope-intercept form.
Luckily there is only one step which is to subtract 2x on both sides.
y=-2x+5
The slope of this line is -2
The slope of parallel line will also be -2.
So we know our equation is in the form y=-2x+b
To find b we will just use the point (x,y)=(5,4) we know is on the line.
Plug in and solve for b.
4=-2(5)+b
4=-10+b
14=b
So the equation that is parallel to 2x+y=5 and goes through (5,4) is y=-2x+14