What is the x-intercept and y-intercept of the graph of 10x - 5y = 20?
|dw:1343070238885:dw|
x-intercepts are the points where any function crosses the x-axis, therefore when \(y=0\); |dw:1343070280392:dw|
y-intercepts are the points where any function crosses the y-axis, therefore when \(x=0\); |dw:1343070336026:dw|
So, to find: x-intercept of \(f(x)\), replace y by 0 and solve for x, point will be at \((x, 0)\); y-intercept of \(f(x)\), replace x by 0 and solve for y, point will be at \((0,y)\);
Given 10x - 5y = 20 Find x-intercept: Replace y by 0 and solve for x 10x - 5y = 20 10x - 5(0) = 20 10x - 0 = 20 10x = 20 x = 20 \(\div\) 10 x = 2 x-intercept at (2, 0) =========== y-intercept: Replace x by 0 and solve for y 10x - 5y = 20 10(0) - 5y = 20 -5y = 20 y = 20 \(\div\) -5 y = -4 y-intercept at (0, -4)
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