Answer:
Point-Slope Form: y-2 = -1(x+7) Slope-Intercept Form: y = -x-5 Standard Form: x+y = -5
Explanation:
Because we were giving the slope and a point, we can write this in point-slope form.
Point-Slope Form: y-y1=m(x-x1)
Substitute the point and slope into (x1,y1) and m: y-2 = -1(x-(-7))
y-2 = -1(x-(-7)) = y-2 = -1(x+7)
y-2 = -1(x+7)
If want in slope-intercept form (y=mx+b),
y-2 = -1(x+7)
y-2 = -1x-7
y = -1x-5 = y = -x-5
To convert to standard form (ax+by=c)
y = -x-5
y+x = -5 = x+y = -5
Hoped I've helped! Good Luck!