Question

Work out the gradient and the y-intercept of the line on the graph below. If your answer is a decimal, then round it to 1 d.p.

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Answer 1

3

Step-by-step explanation:

Find 2 easy-to-read points.

For example, I found (2, 24), (12, 54)

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

gradient = (54 - 24)/(12 - 2)

gradient = 3

Answer 2

The gradient of the line is 3, and the y-intercept is 9, resulting in the linear equation y = 3x + 9.

Step-by-step explanation:

The question is asking us to work out the gradient and the y-intercept of a given line on a graph.

Based on Figure A1 provided in the description, we can identify that the y-intercept of the line is 9, as this is the point where the line crosses the y-axis. Furthermore, the slope, or gradient, of the line is given as 3. This means for every 1 unit increase in the x-direction (horizontal axis), the y-value (vertical axis) rises by 3 units.

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Therefore, the equation for this line, based on the provided information, would be y = 3x + 9.