Question

write the equation of a line with the slope, -1/4 which passes through the point (-4,1).Write the answer In slope-intercept form.

Answer 1

Given:

The slope is, m = - 1/4.

The points are, (x, y) = (-4, 1)

The general slope intercept form is given by,

`y=mx+b`

Here, b is the y intercept. b can be calculated by substituting the values of x and y in the slope intercept form,

`\begin{gathered} 1=-(1)/(4)*-4+b \\ 1=1+b \\ b=0 \end{gathered}`

Thus, the equation is,

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