Through (-1, -5), Slope = 1

Answer 1

I am assuming this question is asking to find an equation of a line.

Through (-1,-5) slope = 1

Equation of a line in Point Slope form-

y-y₁=m(x-x₁)

y--5=1(x--1)

y+5=1(x+1)

Equation of the line in slope-intercept form-

y=mx+b

Start with the point-slope form and keep solving it until you get the slope-intercept form.

y+5=1(x+1)

Using the distributive property

y+5=1x+1

Subtract 5 on both the sides

y=1x-4

y=x-4

Answer 2

y=x -4 is the equation of the line through (-1,-5) with slope = 1

y+5 = x+1 in point slope form with an implicit 1 in front of (x+1)

y-y1 = m(x-x1) where m=1 and (x1, y1) = (-1, -5)

or

(y+5)/(x+1) = 1