Question 1039108
P(1,4); y = -2x + 4
The slope is -2, because it is in slope-intercept form.
Perpendicular lines have negative reciprocal slope, or +1/2. The product of -2 and (1/2) is -1
point slope formula (way 1)
y-y1=m(x-x1)
y-4=(1/2)(x-1)
y-4=(1/2)x-(1/2)
y=(1/2)x+(7/2)
{{{graph(300,200,-12,12,-10,10,-2x+4,(x/2)+(7/2))}}}
y=5x+2 (5,3)
Second has slope of 5 and negative reciprocal is -1/5
way 2
y=mx+b
substitute x,y from point
3=(-1/5)*5+b
3=-1+b
b=4
y=(1/5)x+4
y-3=(-1/5)(x-5)
y=(-1/5)x+4
{{{graph(300,200,-12,12,-12,12,5x+2,(-x/5)+4)}}}