Question

Write the slope intercept form of the equation of the line through the given point with the given slope

Through: (1,4) Slope =undefined

Answer 1

An undefined slope is when there is a horizontal line or vertical line. Which would be, in this case, y=4, I believe. It can also be x=1.

Answer 2

So both could be the form of the equation?

Answer 3

However, I forgot to mention, since they say slope intercept form, that is y=mx+b.
y=(0)x+4
y=4

Answer 4

Ahhhh ok m acts as the slop and just plug in x and y

Answer 5

thanks!

Answer 6

Wait why is b 4 ?

Answer 7

Indeed, the m will always be 0, since its undefined. They give you the (1,4), so plug in the points.

Answer 8

Oh nevermind b is the y intercept, allright thanks for the help

Answer 9

4=mx+b
4=0(1)+b
4=b
From then, we can write a general equation that applies to all points;
y=(0)x+4
y=4