The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
Convert the given equation to the slope-intercept form:
[tex]y-2=\dfrac{1}{2}(x+6)[/tex] use distributive property a(b + c) = ab + ac
[tex]y-2=\dfrac{1}{2}x+3[/tex] add 2 to both sides
[tex]y=\dfrac{1}{2}x+5[/tex]
It is a linear function. We only need two points to plot the graph.
The first point we have from point-slope form → x₁ = -6, y₁ = 2 → (-6, 2).
The second point we have from slope-intercept form → b = 5 → (0, 5)
