Question

find the equation of straight line passing through (-4,5) and cutting off equal and nonzero intercept on coordinate axes ​

Answer 1

Answer:

The equation of the line is x + y = 1

Step-by-step explanation:

Equation of the straight line in intercept form is

$\boxed{\frac{x}{a}+\frac{y}{b}=1}$

Where a and b are intercepts on the x-axis and y-axis respectively

In the question, both the intercepts are same

Therefore, the equation will become

$\frac{x}{a}+\frac{y}{a}=1$

or, x + y = a

This line passes through point (-4, 5)

Therefore, (-4, 5) will satisfy the equation of the line

Thus

-4 + 5 = a

or, a = 1

Thus the equation of the line is

x + y = 1