+981 This is an equation for a line in slope-intercept form.
In the line: \(y=kx+b\), the slope is \(k\) and the y-intercept is \(b\), make sure you understand why. :)
+4609 In an equation of a line, we have y, x, the slope (any variable) and the y-intercept.
You generally see the equation like this: y=mx+b.
Still with me?
Next, to find the slope, you have to subtract \(y_1\) from \(y_2\) , to get \(y_2-y_1\)
And, then we have to subtract both x-corrdinates-\(x_2-x_1\)
So, the formula to find the slope is \(\frac{y_2-y_1}{x_2-x_1}\) , where \(y_1\) is the first y-coordinate, \(y_2\) is the second y-coordinate, \(x_1\) is the first x-coordinate, and \(x_2\) is the second x-coordinate.
I know this is a lot of information, question me if you need any help!
+981 Hey tertre!
You are absolutely correct if someone wants to find the equation of the line with two given points.
However, the equation of the line is already given to us, we just need to identify the slope.
:)
+118608 I have deleted the bit where you gave the final answer Tertre.
Gavin's initial answer was very good.
But Gavin I was surprised that you use k instead of m for the gradient.
To my knowledge m is (almost) universally used for gradient
I have seen a different letter used only in relation to statistics.
Maybe some countries are different.......
