Find the equation of a line that passes through (-2,3) and has a slope of -1

Question

1.Find Slope

m=
2. Pick a point


3. Plug in AND solve for b

y=mx+b

b=

4. Write the equation using m and b from step 1 and 2

Answer 1

1. The given slope is -1.

2. The given point is (-2, 3).

3. Using the point-slope form, we have:
3 = -1(-2) + b
3 = 2 + b
b = 3 - 2
b = 1

4. The equation of the line is:
y = -x + 1