Question

Find the gradient of the line with equation 3x + 4y = 10

Answer 1

First off, we find a pair of x and y that suits the equation

x = 2 ; y = 1 => 3 x 2 + 4 x 1 = 10

So, we need to find the gradient of the line that goes through (0;0) and (2;1)

(I'll use the slope one for short)

=
`(y2-y1)/(x2-x1) =(1-0)/(2-0) = (1)/(2)`

So, the gradient is 1/2.