What is an equation of the line that passes through the point (2,-5) and is parallel to the line x – 2y = 16?

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

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.