Question

Graph the line passing through the given point and having the indicated slope.through (1,1) with slope -6/5

Answer 1

Ok, we have this, replacing this point and the slope in the equation:

`(y-1)=-(6)/(5)(x-1)`

With this equation we are going to find the points replacing "x" to (2,3,4)

So, x=2:

`y-1=-(6)/(5)(2-1)`
`y-1=-(6)/(5)(1)`

`y-1=-(6)/(5)`
`y=-(6)/(5)+1`
`y=-(1)/(5)`

This mean that the second point is B: (2, -1/5)

x=3:

`y-1=-(6)/(5)(3-1)`
`y-1=-(6)/(5)(2)`
`y-1=-(12)/(5)`
`y=-(12)/(5)+1`
`y=-(7)/(5)`

This mean that the third point is C: (3, -7/5)

x=4:

`y-1=-(6)/(5)(4-1)`
`y-1=-(6)/(5)(3)`
`y-1=-(18)/(5)`
`y=-(18)/(5)+1`
`y=-(13)/(5)`

This mean that the fourth point is D: (4, -13/5)

Graphing this: