use the intercept to graph the equation
x+4y=8
y axis intercept when x = 0
4y = 8
y = 2
so one point is (0,2)
x axis intercept when y = 0
x = 8
so second point is (8,0)
To graph the equation x+4y=8 using the intercept method, we need to find the x-intercept and the y-intercept.
1. X-Intercept:
To find the x-intercept, we set y=0 and solve for x. This means we need to find the point where the line crosses the x-axis.
x + 4(0) = 8
x = 8
Therefore, the x-intercept is (8,0).
2. Y-Intercept:
To find the y-intercept, we set x=0 and solve for y. This means we need to find the point where the line crosses the y-axis.
0 + 4y = 8
4y = 8
y = 2
Therefore, the y-intercept is (0,2).
Now, plot these two intercepts on a coordinate plane and draw a straight line passing through them.