Answer:
y = -2x + 27
Step-by-step explanation:
Firstly, we shall need to reform the given line equation;
y-7 = 1/2 ( x + 2)
y - 7 = x/2 + 1
y = x/2 + 1 + 8
y = x/2 + 8
Comparing this with y = mx + c
where m is the slope, then the slope of the line is 1/2
Since the line we are looking for has a slope perpendicular to this line, it means that the product of their slopes is -1
m1 * m2 = -1
1/2 * m2 = -1
m2 = -2
So we want an equation with slope -2 passing through (6,15)
we use the point slope method here;
y-y1 = m(x-x1)
y-15 = -2(x-6)
y-15 = -2x + 12
y= -2x + 12 + 15
y = -2x + 27
