Question

Find the gradients of lines A and B.

Answer 1

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 $(x_1,y_1)$ and $(x_2,y_2)$,

Gradient (m) = $\frac{y_2-y_1}{x_2-x_1}$

For line A,

Since, line A passes through (3, 6) and (4, 10)

Gradient of line A = $\frac{10-6}{4-3}$

                              = 4

For line B,

Since, line B passes through (1, 6) and (2, 4),

Gradient of line B = $\frac{6-4}{1-2}$

                             = -2