Answer:
y -5 = -7(x +5)
Step-by-step explanation:
The point-slope form of the equation for a line is usually used for this purpose. For point (h, k), the line with slope m through it is given by ...
y -k = m(x -h)
Filling in the given numbers, you get the equation ...
y -5 = -7(x +5)
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This can be rearranged to any of several other forms:
y = -7x -30 . . . . . slope-intercept form
7x + y = -30 . . . . standard form
x/(-30/7) + y/(-30) = 1 . . . . . intercept form