What is step 4??? What is the statement?
Answer:
The equation of the line is 
.
Step-by-step explanation:
According to Analytical Geometry, we know that any equation of the line can be determined by knowing two distinct points on Cartesian plane. From statement we get that:
(1)
(2)
By applying the definition of the equation of the line, we form this system of two linear equations with two variables:
(3)
(4)
By algebraic mean we get the following solution:
and 
And the equation of the line is .
Answer:
y = 5x - 7
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-12 - 3) / (-1 - 2)
= (-12 - 3) / (-1 - 2)
= -15 / -3
m = 5
y-intercept using slope above and anyone point, let's use (-1, -12):
y = mx + b
-12 = 5(-1) + b
-12 = -5 + b
b = -7
Equation of line using m and b from above:
y = mx + b
y = 5x - 7
We are given with the rate of change of the base, db/dt equal to 1 ft/ sec and the rate of change of the height of the triangle, dh/dt equal to 2 ft/sec. b is 10 ft and h is 70 ft. Area of triangle is equal to A= 0.5 bh The rate of change of the area is equal to dA/dt = 0.5 b dh/dt + 0.5 h db/dt. Substituting, dA= 0.5*10*2 + 0.5*70 * 1 equal to 45 ft2 / sec.
