Answer:
This indicates that the point of intersection is: (8,-6)
Explanation:
The intersection of two lines is the point where they intersect. The point where the line crosses the x axis is called [x-intercept]. The point [y-intercept] is where the line crosses the y-axis.
The point of intersection is calculated by equating their equations. By solving the resulting equation, the coordinates of the cut point are obtained.
In this case you have y=14−2.5x and y=1.5x−18
Equating the equations you get:
14-2.5x=1.5x-18
Solving:
14+18=1.5x+2.5x
32=4x
32÷4=x
x=8
Replacing in both equations: y=14-2.5*8=-6
y=1.5*8-18=-6
This indicates that the point of intersection is: (8,-6)
The intersection point can be seen graphically, representing both lines, as shown in the attached image, where the red line is y = 14−2.5x and the blue line represents y =1.5x-18