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Write the equation of the line passing through the points (-4,5) and (-5,4)

1 Answer

3 votes

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

User Giancarlo Corzo
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