(a) Write down the gradient of the line with equation y = 7 - 4x The line L passes through the points with coordinates (- 3, 1) and (2, - 2)

Question

asked Apr 2, 2022 155k views

1 Answer

Ram Gandhi · Answer 1 · 2022-04-06T10:49:00+0000

Note: Let us consider, we need to find the gradient of line L.

Given:

The given equation of a line is:

y=7-4x

The line L passes through the points with coordinates (- 3, 1) and (2, - 2).

To find:

The gradient of the given line and the gradient of line L.

Solution:

Slope intercept form of a line is:

y=mx+b ...(i)

We have,

y=7-4x ...(ii)

On comparing (i) and (ii), we get

m=-4

Therefore, the gradient of the given line is -4.

The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:

m=(y_2-y_1)/(x_2-x_1)

m=(-2-1)/(2-(-3))

m=(-3)/(2+3)

m=(-3)/(5)

Therefore, the gradient of the line L is
.