Question

Find the equation of the line with slope = 1 and passing through (5,-1). Write your equation in the form y=mx+b

Answer 1

In the required form y = mx = b , we have,

y = x - 6

(with m = 1 and b = -6)

Explanation:

writing in the form y = mx + b

Slope = m = 1,

so, y = (1)x + b,

y = x + b

since it passes through (5, -1), this point satisfies the equation, hence,

(-1) = 5 + b,

b = -1 - 5,

b = -6

So, in y =mx + b form, we have,

y = x - 6