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

The gradient of the line shown above is  A:  

Slope of the line that passes through two points and is :

slope  

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

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

The slope is:

Therefore the correct option is A.

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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.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

2222222222222222222

step-by-step explanation: