Question

A line passes through (-5,2) and has a slope of -1. What is an equation of the line in slope-intercept form?

A. y+2=-(x-5)

B. y=-x-3

C. y-2=-(x+5)

D. y=-x+3​

Answer 1

Equation in point slope form

• y-y1=m(x-x1)
• y-2=-1(x+5)
• y-2=-x-5
• y=-x-3

Answer 2

B. y=-x-3

Explanation:

`f(x) = ax + b \\ a = - 1 \\ (x \: y) = ( - 5 \: \: 2) \\ f( - 5) = - ( - 5) + b = 2 \\ 5 + b = 2 \\ b = - 3 \\`

So,

`f(x) = - x - 3 \\ y = - x - 3`

Hope it helps