The first step here is finding the gradient. We do this by dividing the difference in #y# (vertical) by the difference in #x# (horizontal).
To find the difference, you simply take the original value of #x# or #y# from the final value (use the coordinates for this)
#(0 - 23)/(-1 - 10)# #= (-23)/-11# #= 2.1# (to 1dp)
We can then find the #y# intercept with the formula:
#y - y_1 = m (x - x_1)#
Where #m# is the gradient, #y_1# is a #y# value substituted from one of the two coordinates and #x_1# is an #x# value from one of the coordinates you were given (it can be from either of the two as long as it is from the same coordinate as your #y# one).
So, let's use the first coordinate, #(10,23)# as they are both positive (so it will be easier to calculate).
#m=2.1 " "##y_1 = 23 " "# and #" "x_1 = 10#
When we substitute this in, we get:
#y - 23 = 2.1 (x - 10)#
#y - 23 = 2.1x - 21#
#y = 2.1x + 2#
So, your line equation is:
#y = 2.1x + 2#
Hope this helps; let me know if I can do anything else:)
