Answer:
1st option
x-4y=-4
3x +4y=36
Step-by-step explanation:
The point (8,3) is the common point for both lines (and their equations)
Let's pick another point for the red line, the I equation and then calculate the the equation
I (8,3) and (4,2)
[tex]m=\frac{3-2}{8-4}\\ \\ m=1/4[/tex]
We now have the inclination angle = 1/4 crescent function
Looking at the graph we see the red line, the equation I intercepts y-axis on point 1
y=1/4x+1
y=1/4(8)+1 Therefore : y=3 Testing for (4,2) y=1/4*4+1 y=2
As for the blue line, the second equation finding out m, as we have two points for this Equation (0,9) and (8,3)
[tex]m=\frac{3-9}{8-0}\\ m=-3/4[/tex]
y=-3/4x+9
So we have
y=1/4x+1
y=-3/4x+9
But in the options we have to multiply everything by four
4y=x+4
4y=-3x+36
Rearranging
-x+4y=4 *(-1)
3x+4y=36
Finally
x-4y=-4
3x +4y=36
