Find the x and y intercepts

What are the x and y intercepts of 2x + 4y = 8 ?

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At the x-intercept, the value of y is zero.  To find the x-intercept, just substitute zero in for y.

2x + 4y = 8
2x + 4(0) = 8   {substituted zero for y}
2x = 8   {multiplied 4 by 0}
x = 4   {divided each side by 2}


At the y-intercept, the value of x is zero.  To find the y-intercept, just substitute zero in for x.

2x + 4y = 8
2(0) + 4y = 8   {substituted zero for x}
4y = 8   {multiplied 2 by 0}
y = 2   {divided each side by 4}

The x-intercept is 4.  
The y-intercept is 2.

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