Question

Choose the equation of the line passing through the point (-3, -1) and perpendicular to y = 1/2x + 3.

y = -2x - 7

y = -2x +5

y = 2x + 5

y = 2x - 7

Answer 1

perpendicular means its slope must be the opposite and reciprocal of 1/2, the slope of y = 1/2x + 3. So it has to have slope of -2. that leaves only the first and second choice.
plug in x =-3 and y = -1 into both. whichever gives you a correct statement is the correct choice.

Answer 2

I understand now. Thank you!