Question

Find the gradient of lines a and b

Answer 1

Line A: 4

Line B: -2

Explanation:

Note: gradient means slope, or m, in this context

To find the slope of a line, use the formula:

`m = (\Delta y)/(\Delta x) = (y_2-y_1)/(x_2-x_1)` where
`(x_1, y_1)` and
`(x_2, y_2)` are points on the line

Line A has points (2, 2) and (3, 6). To find the slope of the line, simply plug these values into the formula for m :

`m_{\mathrm{line \, A}}=(6-2)/(3-2)=(4)/(1)=4`

So, the slope, or gradient, of line A is 4.

Next, do the same thing for Line B.

Find two points on the line:

(0, 8) and (1, 6)

And plug these values into the formula:

`m_{\mathrm{line \, B}}=(6-8)/(1-0)=(-2)/(1)=-2`

So, the slope, or gradient, of line B is -2.