Answer:
y=1/2x-6
Step-by-step explanation:
1. Put the original line in slope-intercept form (or y=mx+b). To do so, you need to get the y by itself.
Add x from both sides.
2y=x+16
Divide by 2.
y=1/2x+8
2. Since the lines are parallel, they have the same slope. The slope of the original line is 1/2 (the number in front of x), so the slope of the new line will also be 1/2.
3. Use the slope and the ordered pair (2,-5) and put them into point-slope form, which is y-y1=m(x-x1). M represents the slope, and x1 and y1 represent the x and y coordinates.
y+5=1/2(x-2)
3. Simplify the equation to convert it to y=mx+b format.
Distribute -1/2 to what's in the parentheses
y+5=1/2x-1
Subtract 5 from both sides.
y=1/2x-6
