Question

What is the x-intercept and y-intercept of the graph of 10x - 5y = 20?

Answer 1

x-intercepts are the points where any function crosses the x-axis, therefore when \(y=0\);

Answer 2

y-intercepts are the points where any function crosses the y-axis, therefore when \(x=0\);

Answer 3

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 \((0,y)\);

Answer 4

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)
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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)