Question

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?

Answer 1

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!