Question

the equation of straight line whose x-intercept and y-intercept 8 and 7 respectively is

Answer 1

Given, x - inte.rcept of a line is 6

So,

The line will pa.ss through the point (6,0)

Also given. the y - inte.rcept of the line is −4⇒c=−4

So, the line will pa.ss through the point (0,−4)

Now,

Slope, m=m=

x

2

​

−x

1

​

y

2

​

−y

1

​

​

m=

(0−6)

(−4−0)

​

=

−6

−4

​

=

3

2

​

y=mx+c

y=(

3

2

​

)x+(−4)

3y=2x−12

⇒2x−3y−12=0