Answer:
Y = (-3) *X - 10
solution for Y =0 ---> X = -10/3
Step-by-step explanation:
Two points:
(Y0 ; X0) = (-4 ; 2)
(Y1 ; X1) = (-2 ; -4)
There is only one line which pass for both of them, his general expresion is:
y = a*x + b --- (1)
Calculating "a": is the pending of the line.
Calculating "b":
Since every point who belongs to the line satisfied the (1) expresion, we can use it for the point (Y1 ; X1) :
<u>Final expresion</u>
Replacing in (1):
Solutions:
Answer:
(3, 1.7)
Step-by-step explanation:
The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.
Two lines are perpendicular if the product of their slopes is -1.
The slope of the line joining D(0,0), F(3,7) is:
The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:
The slope of the line joining E(7,0), and F(3,7). is:
The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:
The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:
x = 3, y = 1.7