Question

What is an equation that represents the line that passes through the point (-2, 2) and is parallel to

Y=1/2X+ 8?

Answer 1

`y = (1)/(3)x + 3`

Explanation:

The slope of two parallel straight lines are the same.

Now, the slope of the line
`y = (1)/(2) x + 8` is
`(1)/(2)` as the straight line equation is in slope-intercept form.

Now, the equation of the straight line in slope-intercept form which is parallel to the above line is
`y = (1)/(2) x + c` ............. (1) , where c is any constant.

Now, point (-2,2) is on the line (1) {Given}

So, this point will satisfy the equation.

Hence,
`2 = (1)/(2) (- 2) + c`

⇒ c = 3.

Therefore, the equation of the required straight line is
`y = (1)/(3)x + 3` (Answer)