Answer:
D.(3, 3)
Step-by-step explanation:
The equation of a straight line is given as:
y = mx + c;
where x, y are variables, m is the slope of the line, c is the y intercept.
From the graph, we can see that line 1 passes through (6,0) and (0,6).
The equation of line 1 is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{6-0}{0-6} (x-6)\\\\y=-x + 6\ \ \ (1)[/tex]
Line 2 passes through (6, 5) and (0, 1)
The equation of line 2 is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-5=\frac{1-5}{0-6} (x-6)\\\\y=\frac{2}{3}x + 1\ \ \ (2)[/tex]
To get the coordinates of the intersection of the two lines, we solve equation 1 and 2 simultaneously using a calculator. This gives:
x = 3, y = 3
Therefore the two lines meet at (3, 3)
