Question

I hope my questions are not very silly.

But here is another one I want to understand.

Write an equation in slope-intercept form of the line satisfying the following conditions.

through (6,7); perpendicular to x=2

My answer was 7/6(X)+2

But in truth the real answer is only y=7

How did they come to this conclusion..Is it just me making things hard on my self?

Answer 1

Any equation of the form x = k , is a vertical line
any equation of the form y = c, is a horizontal line

so you were given x=2 which is vertical
so your new line is horizontal and must by
y = c
look at the y value of the given point, it is 7

so y = 7

No actual work required here.

Answer 2

So the Y=7 is the line perpendicular to the vertical like 2 right?