Question

Find the equation of the line with slope m=−1 that contains the point (5,−5).

Answer 1

y = -x

Explanation:

the formula for the equation of a straight line is:

y = mx + c

where m is the gradient (slope) of the line and c is the y-interxept

We are given the slope m = -1 and the point (5,-5)

y = -5, m = -1 and x = 5

Substitute these values into the equation to find c:

y = mx + c

-5 = -1(5) + c

-5 = -5 + c

-5 + 5 = c

c = 0

So the equation is:

y = -x