On a straight line graph, if the line is going this way \ and it goes through 5 on the x axis and 4 on the y axis then what is it's gradient? How do I work this out?

Thanks xx

You also have to specify a point that the line goes through. Does it pass through the origin (x=0, y=0) ? If so, the direction is /, not \.

Oh I meant it goes through (0,4) and (5,0)

To find the gradient of a straight line, you need to determine the change in the y-coordinate divided by the change in the x-coordinate between two points on that line. In this case, you mentioned that the line passes through the points (0, 4) and (5, 0).

The change in the y-coordinate is calculated by subtracting the initial y-coordinate from the final y-coordinate. In this case, it would be:

Change in y = 0 - 4 = -4

The change in the x-coordinate is found by subtracting the initial x-coordinate from the final x-coordinate:

Change in x = 5 - 0 = 5

To calculate the gradient, divide the change in y by the change in x:

Gradient = Change in y / Change in x

Gradient = -4 / 5

Therefore, the gradient of the line is -4/5.

Alternatively, you can also visualize this using the slope-intercept form of a linear equation (y = mx + c). In this case, the equation of the line would be y = (-4/5)x + 4, where m represents the gradient and c represents the y-intercept.

I hope this helps! Let me know if you have any further questions.