Find Slope of the Line

[nycmathguy]

 

[MathLover1]

given area of the shaded triangle which height is 6 units
y-intercept is at (0,6)

use area to find x-intercept which is the end point of the base of the triangle

area=(1/2)b*h
72=(1/2)b*6
72=b*3
b=72/3
b=24

x-intercept is at (24,0)

find a slope: (0,6), (24,0)

m=(0-6)/(24-0)
m=-6/24
m=-1/4

use point slope formula to find equation of the line

y-y[1]=m(x-x[1]).....m=-1/4 and (0,6)
y-6=-(1/4)(x-0)
y=-(1/4)x +6

 

[nycmathguy]

given area of the shaded triangle which height is 6 units
y-intercept is at (0,6)

use area to find x-intercept which is the end point of the base of the triangle

area=(1/2)b*h
72=(1/2)b*6
72=b*3
b=72/3
b=24

x-intercept is at (24,0)

find a slope: (0,6), (24,0)

m=(0-6)/(24-0)
m=-6/24
m=-1/4

use point slope formula to find equation of the line

y-y[1]=m(x-x[1]).....m=-1/4 and (0,6)
y-6=-(1/4)(x-0)
y=-(1/4)x +6

I like the way you worked your way to the answer.