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,

$\begin{gathered} 1=-\frac{1}{4}\times-4+b \\ 1=1+b \\ b=0 \end{gathered}$

Thus, the equation is,

$y=-\frac{1}{4}x$