use intrcepts to graph the equation
x + 4y = 8
just do it in your head ...
let x=0 ---> y = 2
let y=0 ---> x = 8
plot (0,2) and (8,0)
To graph the equation x + 4y = 8 using intercepts method, we need to find the x-intercept and y-intercept.
The x-intercept is the point where the line intersects the x-axis. To find the x-intercept, we set y = 0 and solve for x.
Let's substitute y = 0 into the equation:
x + 4(0) = 8
x + 0 = 8
x = 8
So, the x-intercept is (8, 0).
Similarly, the y-intercept is the point where the line intersects the y-axis. To find the y-intercept, we set x = 0 and solve for y.
Let's substitute x = 0 into the equation:
0 + 4y = 8
4y = 8
y = 2
Therefore, the y-intercept is (0, 2).
Now we have the x-intercept and y-intercept. Plot these two points on the coordinate plane and draw a straight line passing through them.
To graph the equation x + 4y = 8 using intercepts, we need to find the x-intercept and the y-intercept.
To find the x-intercept, we set y = 0 and solve for x:
x + 4(0) = 8
x + 0 = 8
x = 8
So the x-intercept is (8, 0).
To find the y-intercept, we set x = 0 and solve for y:
0 + 4y = 8
4y = 8
y = 8/4
y = 2
So the y-intercept is (0, 2).
Now we can plot these two points on a graph and draw a straight line passing through them.