Question

A) What is the y-intercept of this line?

b) What is the gradient of this line?
Give each of your answers as an
integer or as a fraction in its simplest
form.
-8 -7 -6 -5 -4/3-2
Y
-8-
7
-6
4-
3-
2-
1
-2-
-3.
-4-
-5-
-6-
-7-
-2.
1 2 3 4 5 6 7 8 X

Answer 1

Answer:Looking at the given information, the x-coordinate of the point where the line intersects the y-axis is 0. By examining the corresponding y-coordinate, we can determine the y-intercept.

In this case, the y-coordinate of the point where the line intersects the y-axis is -6.

Therefore, the y-intercept of the line is -6.

To find the gradient (or slope) of the line, we can choose any two points on the line and calculate the change in y divided by the change in x.

Let's select two points from the given information:

Point 1: (0, -6)

Point 2: (2, -3)

To calculate the change in y, we subtract the y-coordinate of the first point from the y-coordinate of the second point:

Change in y = -3 - (-6) = -3 + 6 = 3

Next, we calculate the change in x by subtracting the x-coordinate of the first point from the x-coordinate of the second point:

Change in x = 2 - 0 = 2

Now we can calculate the gradient (or slope) using the formula:

Gradient = (Change in y) / (Change in x) = 3 / 2

Therefore, the gradient of the line is 3/2, which can also be expressed as 1.5.

Explanation: