Question

How do you graph y-2=1/2 (x+6)

Answer 1

The point-slope form:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

Convert the given equation to the slope-intercept form:

$y-2=\dfrac{1}{2}(x+6)$           use distributive property a(b + c) = ab + ac

$y-2=\dfrac{1}{2}x+3$           add 2 to both sides

$y=\dfrac{1}{2}x+5$

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)