Question

Which equation represents a line that passes through the two points in the table x 1,5 and y 1,6

Answer 1

For this case we must find a linear equation of the form:

$y = mx + b$

Where,

m: slope of the line

b: cutting point with vertical axis.

For the slope we have the following equation:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

Substituting values we have:

$m = \frac {6-5} {1-1}\\m = \frac {1} {0}$

We observe that the slope of the line is not defined.

Therefore, the line is vertical.

Thus, the equation of the line is given by:

$x = 1$

Answer:

The equation of the line is given by:

$x = 1$