A line passes through the point (–2, 7) and has a slope of –5. What is the value of a if the point (a, 2) is also on the line?

Respuesta :

(x1,y1) = (-2,7)
m = -5
(x,y) = (a,2)

Forming the equation,
(y-y1) = m(x-x1)
y - 7 = -5[x - (-2)]
y - 7 = -5x - 10
y + 5x = -3

Putting the values of (x,y) we get,
2 + 5a = -3
5a = -5
a = -1

Answer:

-7

Step-by-step explanation: