Find the equation of the line with $y$ -intercept $4$ and $x$ -intercept $7$ ?

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Solution

The $Y$ -intercept is $4$ , the point is $(0, 4)$
The $X$ -intercept is $7$ , the point is $(7, 0)$
The slope of line is $- 4 / 7$
The equation of line is $y - 4 = \frac{- 4 (x - 0)}{7} = \frac{- 4 x}{7}$
Which implies $y = (- \frac{4}{7}) x + 4$

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6

- 4

Find the equation of the line, whose :

(i) x-intercept = 5 and y-intercept = 3

(ii) x-intercept = -4 and y-intercept = 6

(iii) x-intercept = -8 and y-intercept = -4

Find x intercept and y intercept of the equation 3y – 4x = 10. Hence find the coordinates of the midpoint of the line joining the intercepts.

The equation of a line with x intercept 4 and y intercept 3 is given by

x = - 4

y

y = 5

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