Question

Answer the following question:

Find the Y-intercept of the line whose slope is 4 and which has X intercept 5

Answer 1

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