To find the x-intercept and the y-intercept of the linear equation 4x + 8y = -20, we should follow the steps below:
Step 1: Find the X-intercept
The x-intercept is the point where the line crosses the x-axis. At this point, y is always zero. So, we set y = 0 in our equation and solve for x.
4x + 8(0) = -20
4x = -20
Our next step is to isolate x, so we divide by 4 on both sides of the equation:
x = -20 / 4
So, x = -5.0
That means the x-intercept is -5.
Step 2: Find the Y-intercept
The y-intercept is the point where the line crosses the y-axis. At this point, x is always zero. So, we set x = 0 in our equation and solve for y.
4(0) + 8y = -20
8y = -20
Our next step is to isolate y, so we divide 8 on both sides of the equation:
y = -20 / 8
So y equals -2.5.
That means the y-intercept is -2.5.
So, in conclusion, the x-intercept is -5, and the y-intercept is -2.5 in the linear equation 4x + 8y = -20.