Question

Write an equation in point-slope form of the line passing through a given point and having the given slope m = -3 through (1,9)

Answer 1

Answer:

y-9=-3(x-1)

Explanation:

The point-slope form of the equation of a line is derived using the formula below:

$y-y_1=m(x-x_1)$

For a line that passes through the point (1,9) and has a slope of -3, we have:

$m=-3,x_1=1,y_1=9$

We substitute these into the equation given above to get the equation:

$y-9=-3(x-1)$