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Question
Find the equation of the line, whose x-intercept = −4 and y-intercept = 6
Solution
When x-intercept = −4, corresponding point on x-axis is (−4, 0)
When y-intercept = 6, corresponding point on y-axis is (0, 6).
Let (x1, y1) = (−4, 0) and (x2, y2) = (0, 6)
Slope = `(6 - 0)/(0 + 4) = (6)/4 =3/2`
The required equation is:
y – y1 = m(x – x1)
`y - 0 = (3)/2(x + 4)`
2y = 3x + 12
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