scarlet6720
scarlet6720 scarlet6720
  • 17-02-2022
  • Mathematics
contestada

If the slope is -1/4 and the point (-2,7) is on the line,
what is the equation of the line in point slope form?

If the slope is 14 and the point 27 is on the line what is the equation of the line in point slope form class=

Respuesta :

Esther
Esther Esther
  • 17-02-2022
Slope intercept Form:
y = mx + b
y = -1/4x + b
7 = -1/4(-2) + b
7 = 1/2 + b
2(7 = 1/2 + b)
14 = 1 + 2b
-1 -1
13 = 2b
/2 /2
13/2 or 6.5 = b

y = -1/4x + 13/2 or 6.5

Point Slope Form:
y - y1 = m (x - x1)
y - 7 = -1/4 (x - -2)
y - 7 = -1/4 (x + 2)
y - 7 = -1/4x - 1/2
+ 7 + 7
y = -1/4x + 13/2

Hope that helps!
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