Question

OPEN

Which is the point-slope form of an equation for the line that passes through (0,-5)
with slope 2

Answer 1

The point slope form of the equation for line passes through (0, -5) with slope 2 is (y+5) = 2 (x-0)

Solution:

In the question it is given that the line passes through the point (0,-5) with slope (m) = 2. We have to find out the point slope form of the equation.

We know the point - slope form of an equation is given by

`\left(y-y_(1)\right)=m\left(x-x_(1)\right)`

where
`x_(1) and y_(1)` are the x and y co-ordinates

`\text { Here } y_(1)=-5 \text { and } x_(1)=0 \text { and the slope } m=2`

Substituting the values in the point slope form of the equation we get

(y-(-5)) = 2 (x-0)

⇒ (y+5) = 2 (x-0)

Hence the point slope form of the equation for line passes through (0, -5) with slope 2 is (y+5) = 2 (x-0)