How do you find the x and y intercepts for #2x+y-2=0#?
x = 1 ,y = 2
This is a linear equation ie. the equation of a straight line. When the line crosses the x-axis the y-coordinate will be zero. By substituting y=0 into the equation we will find the corresponding x-coordinate.
y = 0 : 2x - 2 = 0 so 2x = 2 and x = 1
Similarly when the line crosses the y-axis , the x-coordinate will be zero and by substituting x = 0 into the equation we will find the corresponding y-coordinate.
x = 0 : y - 2 = 0 and y = 2