Question

Which of the following is the correct graph of the linear equation below? y+2=1/5(x-1)?

Answer 1

y + 2 = 1/5(x - 1)
y + 2 = 1/5x - 1/5
y = 1/5x - 1/5 - 2
y = 1/5x - 1/5 - 10/5
y = 1/5x - 11/5

slope = 1/5
y int = (0,-11/5)....for graphing purposes, -11/5 = - 2 1/5
x int = (11,0)

Answer 2

The graph in the attached figure

Explanation:

we have

`y+2=1/5(x-1)` -----> linear equation in point slope form

we know that

the line passes through the point
`(1,-2)`

the slope is equal to
`m=1/5`

To plot the line find the intercepts

Find the y-intercept ----> (value of y when the value of x is equal to zero)

`y+2=1/5(0-1)`

`y=-11/5=-2.2`

The y-intercept is the point
`(0,-2.2)`

Find the x-intercept ----> (value of x when the value of y is equal to zero)

`0+2=1/5(x-1)`

`x=11`

The x-intercept is the point
`(11,0)`

Plot the intercepts to graph the linear equation

see the attached figure