Question
by graphing what would your top equation be?
3x+4y=48
6x+2y=60
3x+4y=48
6x+2y=60
Answers
GPT 3.5
To find the top equation by graphing, we need to plot the two equations and determine which one is on top (closer to the Y-axis) at the point where they intersect.
To graph the equations, we can put them in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
For the first equation:
3x + 4y = 48
4y = -3x + 48
y = (-3/4)x + 12
For the second equation:
6x + 2y = 60
2y = -6x + 60
y = (-6/2)x + 30
y = -3x + 30
Now we can plot the two equations on a graph:
Graph of y = (-3/4)x + 12:
(0, 12) --> y-intercept
(-4, 15) --> sloping downwards to the right
Graph of y = -3x + 30:
(0, 30) --> y-intercept
(10, 0) --> sloping downwards to the right
The point of intersection is where the two lines cross. By observing the graph, the top equation is: y = (-3/4)x + 12.
To graph the equations, we can put them in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
For the first equation:
3x + 4y = 48
4y = -3x + 48
y = (-3/4)x + 12
For the second equation:
6x + 2y = 60
2y = -6x + 60
y = (-6/2)x + 30
y = -3x + 30
Now we can plot the two equations on a graph:
Graph of y = (-3/4)x + 12:
(0, 12) --> y-intercept
(-4, 15) --> sloping downwards to the right
Graph of y = -3x + 30:
(0, 30) --> y-intercept
(10, 0) --> sloping downwards to the right
The point of intersection is where the two lines cross. By observing the graph, the top equation is: y = (-3/4)x + 12.