Respuesta :

Answer:

[tex] y = 8 [/tex]

Step-by-step explanation:

Equation of the line that passes through (-2, 8) with a slope of 0, can be written in point-slope form, [tex] y - y_1 = m(x - x_1) [/tex] and also in slope-intercept form, [tex] y = mx + b [/tex].

Using a point, (-2, 8) and the slope (m), 0, substitute x1 = -2, y1 = 8 and m = 0 in [tex] y - y_1 = m(x - x_1) [/tex].

Thus:

[tex] y - 8 = 0(x - (-2)) [/tex]

[tex] y - 8 = 0 [/tex]

Rewrite in slope-intercept form

[tex] y - 8 + 8 = 0 + 8 [/tex] (addition property of equality)

[tex] y = 8 [/tex]

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