Question

The line with the slope of 1/5 and passing through the point D(2,2)

Answer 1

Y = 1/5 x + 8/5

Explanation:

The equation of a line in slope intercept form is

`y=mx+b`

we are told that the slope of the equation is 1/5; therefore,

`y=(1)/(5)x+b`

Furthermore, we are also told that the line passes through (2,2), meaning it should satisfy the condition when y = 2, x = 2

Putting in x =2 and y = 2 in the above equation gives

`2=(1)/(5)(2)+b`
`2=(2)/(5)+b`

subtracting 2/5 from both sides gives

`2-(2)/(5)=b`
`b=(8)/(5)=1.6`

Hence the equation of the line is

`y=(1)/(5)x+(8)/(5)`

The graph of the equation is given below.