Answer:
x-Intercept: 1
y-Intercept: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Step 1: Rearrange the equation x+2y=1 into y=mx+b
2y = -x + 1
[tex]y=-\frac{1}{2}x +\frac{1}{2}[/tex]
Step 2: Find x and y intercept
We know the y intercept is at 'b' which is [tex]\frac{1}{2}[/tex]
We know the x intercept is when y = 0 so we set y = 0 and solve for 'x'
[tex](0)=-\frac{1}{2}x +\frac{1}{2}\\-\frac{1}{2}=-\frac{1}{2}x \\\frac{-\frac{1}{2}}{-\frac{1}{2}} = -\frac{-\frac{1}{2}}{-\frac{1}{2}}x\\1=x[/tex]
So we know when y = 0 x is equal to 1
Therefore the x intercept is 1 and the y intercept is [tex]\frac{1}{2}[/tex]
