Answer:
The gradient of lines A is 8 and B is -4
Step-by-step explanation:
As we know, the gradient of a line is its slope.
The formula to find the slope of a linear line is:
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
As we can see the line A goes through points:
C (x1, y1) = (0, -6)
D (x2, y2)= (2.5, 14)
<=> the slope of line A is:
= [tex]\frac{14 - (-6)}{2.5-0}[/tex]
= [tex]\frac{20}{2.5}[/tex]
= [tex]8[/tex]
As we can see the line A goes through points:
E (x1, y1) = (2, 0)
F (x2, y2)= (0, 8)
<=> the slope of line B is:
= [tex]\frac{8-0}{0-2}[/tex]
= -4
Hence, the gradient of lines A is 8 and B is -4
