Question

Graph: y +2=

(x + 4)
ty
Y
4
2
8
-6
-4
-2
2
4
-2
-4
-6

Answer 1

see below

Explanation:

The point-slope form of the equation of a line is ...

y -h = m(x -k)

for a line with slope m through point (h, k).

Comparing this to the given equation, you see that ...

h = -2, m = 1, k = -4

The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.

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You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.

y = x +2

This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.