Answer:
y - 3 = 8(x + 6)
Step-by-step explanation:
When given a point and slope, it is convenient to use the point-slope form of the equation of a line. For slope m and point (h, k), that equation is ...
y -k = m(x -h)
For your given slope of 8 and point (-6, 3), the equation is ...
y -3 = 8(x +6)
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If you like, you can change the form to match your preference.
y = 8x +48 +3 . . . . add 3, eliminate parentheses
y = 8x +51 . . . . . . . slope-intercept form
8x -y = -51 . . . . . . . standard form
