Answer:
To graph this we find the x- and y-intercepts. The x-intercept would be at 8 and the y-intercept would be at 6.
Explanation:
The equation is 6x+8y=48. An x-intercept is the point where the data crosses the x-axis. All points on this line will have a y-coordinate of 0, so we replace y with 0 and solve:
6x+8(0)=48
6x=48.
Divide both sides by 6:
6x/6=48/6
x=8.
We go to 8 on the x-axis and plot the point.
A y-intercept is the point where the data crosses the y-axis. All points on this line will have an x-coordinate of 9, so we replace x with 0 and solve: 6(0)+8y=48
0+8y=48
8y=48.
Divide both sides by 8:
8y/8 = 48/8
y=6.
We go up to 6 on the y-axis and plot the point. We then draw a line through these two points.