Can you help with MATHS homework please? Yr10, gradients!

[MaureenMLove]

The equation is y=4/5x + 2 and we/she needs to work out the gradient and intercept.

Any ideas how I can explain this to my DD? I would be very, very grateful!

Thanks

The gradient is the coefficient of x (the number before x, in this case 4/5) and the y intercept is what the y co-ordinate is when x is 0 (2 in this case) :) -Courtesy of DS

Is it an x intercept or a y intercept?

The gradient is the measure of the slope.

You can just learn it tbh.

Any equation in the form y = mx + c has gradient m and crosses the y-axis at point (0, c).

So in your example, the gradient is 4/5 and the intercept is (0, 2).

The intercept is fairly easy to explain - all points up the y-axis (vertical) have x-coordinates of zero. So if you substitute x=0 into the equation y = 4/5 * 0 + 2, therefore y=2. So the point is (0, 2).

Gradient is harder to explain but it means the rate of change of y with respect to x, ie how much does the line go upwards for every 1 unit it goes along to the right.

Not sure how clear that is, but I tried!

It is the change in y divided by the change in x.

So if x goes up by 1 the gradiemt is whatever y goes up by.

The x intercept is the point where the line crosses the x axis

Says MrBella

How is the old hobby horse mo?

Shh!

Thankyou for your help ladies. DD is trying to work it though with your answers!