Answer:
(a) -1/2x +3 = 3x -4
Explanation:
Given a graph of two lines, you want to know which equation it is showing the solution for.
Lines
The blue line has a slope of -3/6 = -1/2, and a y-intercept of +3, so its slope-intercept equation is ...
y = -1/2x +3
This expression is seen on the left side of the equal sign for the first choice, and is not seen anywhere else.
By way of confirmation, the red line has slope 3/1 = 3 and a y-intercept that is a negative value less than -2. It is reasonable to say its slope-intercept equation is ...
y = 3x -4
This expression matches the right side of the equal sign for the first choice.
Solution
The solution to the system of these two equations might reasonably be found by equating the expressions for y:
-1/2x +3 = 3x -4