Question

What is a point-slope equation of the line with slope -10 that goes through the point (1,4)?

a) y-4=-10(x-1)
b) y-4=10(x-1)
c) y+4=10(x+1)
d) y+4=-10(x+1)

Answer 1

The answer is option A

Explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question

the slope is - 10

the point is (1,4)

So the equation of the line is

`y - 4 = - 10(x - 1)`

Hope this helps you