Question

What is the equation of the line that passes through the point (3, -8) and has a slope of -1?

a) y = -x - 11
b) y = -x + 5
c) y = x - 5
d) y = x + 11

Answer 1

The equation of the line that passes through the point (3, -8) and has a slope of -1 is y = -x - 5.

Step-by-step explanation:

To find the equation of the line that passes through the point (3, -8) and has a slope of -1, we can use the point-slope form of a linear equation, which is: y - y1 = m(x - x1). Plugging in the values, we have: y - (-8) = -1(x - 3). Simplifying, we get: y + 8 = -x + 3. Rearranging to the standard form, the equation becomes: y = -x - 5. Therefore, the correct answer is a) y = -x - 5.