Question

Use the intercept form to find the equation of the line with the given intercepts. the intercept form of the equation of a line with intercepts (a,0) and (0,b) is x/a + y/b = 1

point on line (-3,4)

X intercept (d,0)
y intercept (0, d)

Answer 1

x + y = 1

Explanation:

The equation of straight line with X intercept (d,0) and Y intercept (0,d) is given in the intercept form as
`(x)/(d) +(y)/(d) =1` ......... (1)

Now, the point (-3,4) is on this straight line, so it will satisfy equation (1).

Hence,
`(-3)/(d)+(4)/(d) =1`

⇒ d = - 3 + 4 = 1.

Therefore, the equation of the straight line becomes x + y = 1. (Answer)