Question

What is the point-slope form if it's through (1,4) and the slope is 3

Answer 1

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

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

Where:

m: It's the slope

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

According to the given statement we have:

$(x_ {0}, y_ {0}) :( 1,4)\\m = 3$

Substituting we have:

$y-4 = 3 (x-1)$

Finally, the equation is:

$y-4 = 3 (x-1)$

Answer:

$y-4 = 3 (x-1)$