Answer:
D. 2y +x = 5
Explanation:
You can solve for y to find the slope. It will be the x-coefficient. The slopes for the different answer choices are ...
a) -1/2
b) -3/4 . . . not suitable
c) 1/2 . . . not suitable
d) -1/2
To determine if the line goes through the point, you can substitute for x and y and see if the equation works.
a) 4 ?= -1/2(-3) +4 . . . . 4 ≠ 5 1/2
d) 2(4) +(-3) = 5 . . . . . this equation works, so is the correct choice.
The equation with a slope of -1/2 going through (-3, 4) is ...
2y +x = 5