Answer:
Gradient of line A = 4
Gradient of line B = -2
Step-by-step explanation:
To solve this question, we will use the formula for gradient passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
Gradient (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
For line A,
Since, line A passes through (3, 6) and (4, 10)
Gradient of line A = [tex]\frac{10-6}{4-3}[/tex]
= 4
For line B,
Since, line B passes through (1, 6) and (2, 4),
Gradient of line B = [tex]\frac{6-4}{1-2}[/tex]
= -2
