Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b; where y and x are variables, b is the y intercept (i.e. value of y when x is zero), m is the slope of the line.
The slope of a line passing through the points [tex](x_1,y_1)\ and\ (x_2,y_2)\ is:[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let the point where the two lines intersect be the origin (0, 0).
Line 1 passes through (0, 0) and (8, 5). Hence:
slope of line 1 = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{5-0}{8-0} =0.625[/tex]
Line 2 passes through (0, 0) and (5, 8). Hence:
slope of line 2 = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{8-0}{5-0} =1.6[/tex]
