We need to use two forms of the line:
* The point-slope form is:
y = m(x - h)+ k
* The slope-intercept form is:
y = mx + b
Where m is the slope, b is the y-intercept, and (h, k) is a point of the line.
We are given the slope m = -1/2 and the point (-10, 1). Using the point-slope form:
[tex]y=-\frac{1}{2}(x+10)+1[/tex]Operating:
[tex]\begin{gathered} y=-\frac{1}{2}x-5+1 \\ \\ y=-\frac{1}{2}x-4 \end{gathered}[/tex]