Question

Match the equation with its graph. -3x + y = 4

Answer 1

Change this into y=mx+b (slope intercept) by adding 3x on both sides. The m value is the slope, while the y intercept is the b value. The y-intercept is where the line touches the y axis, and the slope is found by rise over run. Using this, you can match the equation to the graph.

Answer 2

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 SEE ATTACHED IMAGE. 
 For this case we have the following equation:
 -3x + y = 4
 Rewriting we have:
 y = 3x + 4
 We observe that we have an equation of the form:
 y = mx + b
 Where,
 m: slope of the line
 b: cutting point with the y axis.
 For this case:
 m = 3
 b = 4
 Answer:
 Graphic # 4