Question

Choose the equation below that represents the line passing through the point (1, -4) with a slope of -

Answer 1

For this case we have that by definition, the point-slope equation of a line is given by:

$y-y_ {0} = m (x-x_ {0})$

Where:

m: It is the slope of the line

$(x_ {0}, y_ {0}):$ It is a point through which the line passes

We have as data that:

$(x_ {0}, y_ {0}) = (1, -4)$

Substituting:

$y - (- 4) = m (x-1)\\y + 4 = m (x-1)$

All that remains is to replace the value of the slope.

Answer:

$y + 4 = m (x-1)$