Answer:
y=x+9
Explanation:
The general equation for a straight line is y=mx+c
1. first we need to find the gradient (m) to do this we do
4-5/-5-(-4)
which gives the answer of 1. This means or gradient (m) is 1. we can substitute this in our general formula y=mx+c which gives
y=1x+c this can also be written as y=x+c
2. we need to find the value of c. to do this we can sub in any co-ordinates from the question in this case we will be using (-4,5)
-4 is the x co-ordinate
5 is the y co-ordinate
5= -4+c
to get c we add 4 on each side we get
9=c
we can sub this into the equation we produced with the gradient giving us
y=x+9
3. the final answer is y=x+9