Question

which of the following is the correct graph of the linear equation below?
y+2=1/5(x-1) giving brainlest answer ​

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y+2=\frac{1}{5}(x-1)$  

This is the equation of the line into point slope form

The point is (1,-2) and the slope  is m=1/5

we know that

To correctly identify the graph find out the x and y intercepts of the graph

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y+2=\frac{1}{5}(0-1)$

$y=-\frac{1}{5}-2$

$y=-\frac{11}{5}=-2.2$

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

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$0+2=\frac{1}{5}(x-1)$

$10=x-1$

$x=11$

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

To graph the line plot the intercepts and join the points

see the attached figure