Question

Find the equation of the line shown

Answer 1

Answer: The equation is (y=x+6)

Explanation:

Lets assume the equation to be y=mx+c,

where,

m=slope of the line

c=constant

Since we know that,

slope=m=tanx

where x is the angle between x-axis and line

tanx=

`tanx= (perpendicular)/(base)`

so here it will be,

`tanx=(10-6)/(4-0) \\= > tanx=1\\= > m=1`

Also, c=6 as we can clearly see from the graph

Therefore the equation of line is => y= x +6