Question

Which of the following represents the distance between the y-intercept and x-intercept of the line whose equation is y = 3x + 12?

1) square root 120
2) square root 160
3) square root 200
4) square root 244

Answer 1

√160

Explanation:

For y-intercept, we use y = mx + c. Comparing both, y = mx +c & y = 3x + 12

y intercept = c = 12

Point is (0, 12)

For x intercept, we use y = m(x - d). We have

y = 3x + 12 → y = 3(x - (-4))

Compare both, x intercept = d = - 4

Point is (-4, 0)

Using distance formula,

Distance = √(0-12)² + (-4-0)² = √12²+4²

Distance = √144+16 = √160

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