Question

Write the equation of the line with slope 1/4 that passes through the point (0, -1).

Answer 1

The point-slope form of a line is given by:

y - k = m ( x - h)

Where m is the slope of the line and (h, k) is a point through which the line passes.

We are given the values of m = 1/4 and the point (0, -1).

Substituting:

`\begin{gathered} y-(-1)=(1)/(4)(x-0) \\ \text{Simplifying:} \\ y+1=(1)/(4)x \\ \text{Solving for y:} \\ y=(1)/(4)x-1 \end{gathered}`