Question

Through (5,4) slope= - 7/5

Answer 1

For this case we have that by definition, the equation of a line of the point-slope form 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 that belongs to the line

According to the data of the statement we have to:

$m = - \frac {7} {5}\\(x_ {0}, y_ {0}) :( 5,4)$

Substituting in the equation we have:

$y-4 = - \frac {7} {5} (x-5)$

Answer:

$y-4 = - \frac {7} {5} (x-5)$