The equation of a line for the given slope is [tex]y=\frac{1}{2} x+1[/tex].
Solution:
Given data:
Slope (m) = [tex]\frac{1}{2}[/tex]
Point = (–2, 0)
[tex]x_1=-2, y_1=0[/tex]
To find the equation of the given line in the point-slope form:
Point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute the given values in the formula.
[tex]$y-0=\frac{1}{2} (x-(-2))[/tex]
[tex]$y=\frac{1}{2} (x+2)[/tex]
[tex]$y=\frac{1}{2} x+\frac{2}{2}[/tex]
[tex]$y=\frac{1}{2} x+1[/tex]
The equation of a line for the given slope is [tex]y=\frac{1}{2} x+1[/tex].
