Question

Write the equation of a line that goes through the points (3, -4) and (3, -2)

Answer 1

First lets find the slope through the points (3, -4) and (3, -2)

Answer 2

Use the slope formula:
\[m = \frac{ y _{2} - y _{1} }{ x _{2} - x _{1} }\]

Answer 3

@Weech31912 ?

Answer 4

\[m = \frac{ (-2)- (-4) }{ 3 - 3 }\]

Answer 5

\[m = \frac{ 2 }{ 0 }\]
\[m = undefined. \]

Answer 6

The slope is undefined, but the equation of the line can still be written.

Answer 7

how would it look like if its undefined?

Answer 8

@Brittni0605 I never said you could not do that, the user who asked this was offline when I was helping him.

But as the slope of the y-axis is undefined the equation must be of the form x=k

Answer 9

so x=k or just simply undefined?

Answer 10

y = mx+c;
if slope undefined this imply m tends to infinity;
line is parallel to y axis given that the line passes through

Answer 11

soo??