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Question
Answer the following question:
Find the Y-intercept of the line whose slope is 4 and which has X intercept 5
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Solution
Given, slope = 4, x-intercept = 5
Since the x-intercept of the line is 5, it passes through (5, 0).
Equation of the line in slope point form is
y – y1 = m(x – x1)
∴ Equation of the required line is
y – 0 = 4(x – 5)
∴ y = 4x – 20
∴ 4x – y = 20
∴ `(4x)/20 - y/(20)` = 1
∴ `x/5 + y/((-20)` = 1
This equation is of the form `x/"a" + y/"b"` = 1, where y-intercept = b
∴ y-intercept = – 20
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