Question

Which one of the following gives the gradient of the line shown above?

A: 3/2
B: -2/3
C: 2/3
D: 6
E: -3/2

Answer 1

Answer: A: 3/2

Step-by-step explanation:

When we have a line that passes through the points (x1, y1) and (x2, y2), the slope of this line is:

s = (y2 - y1)/(x2 - x1)

In this graph we can see that the line passes through the points:

(0, - 3) and (2, 0)

Then the slope is:

s = (0 - (-3))/(2 -0) = 3/2

Then the correct option is A.

Answer 2

The gradient of the line shown above is  A:  $\frac{3}{2}$

Slope of the line that passes through two points $(x_1, y_1)$ and $(x_2, y_2)$ is :

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

Now, from the given graph we can see that the line passes through the points:

(0, - 3) and (2, 0)

The slope is:

$s = \frac{(0 - (-3))}{(2 -0)} \\=\frac{3}{2}$

Therefore the correct option is A.

Learn more:https://brainly.com/question/10206962