Question

Find the gradient of lines A and B

Answer 1

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 = $\frac{y2-y1}{x2-x1}$

• Line A

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:

= $\frac{14 - (-6)}{2.5-0}$

= $\frac{20}{2.5}$

= $8$

• Line B

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:

= $\frac{8-0}{0-2}$

= -4

Hence,  the gradient of lines A is 8 and B is -4