Respuesta :

To graph a line with a slope of 1/5 and passes through the point (-2,2), you would first need to graph the point (-2,2).

Once you have done that, all you need to do is apply the slope. With a slope of 1/5, what you would do is go up 1, and over 5.

Then mark the point that you land on, which would be (3, 4).

Keep using the slope to find points, then draw your line.

Hope this helps!

The graph of the equation (5y = x + 12) is attached below and this can be determined by using the point-slope form of the line.

Given :

A line with a slope of 1/5 that passes through the point (-2,2).

The following steps can be used in order to sketch the graph a line with a slope of 1/5 that passes through the point (-2,2):

Step 1 - First, determine the equation of the line that passes through the point (-2,2) and has a slope of 1/5.

Step 2 - Point-slope form can be used in order to determine the equation of a line.

[tex]{y-y_1}=m({x-x_1})[/tex]

where m is the slope and [tex](x_1,y_1)[/tex] is the point on the line.

Step 3 - Substitute the known terms in the above formula.

[tex]({y-2})=\dfrac{1}{5}({x+2})[/tex]

Step 4 - Simplify the above equation.

5y -10 = x + 2

5y = x + 12

Step 5 - Now, graph the above equation. The graph of the equation (5y = x + 12) is attached below.

For more information, refer to the link given below:

https://brainly.com/question/14375099

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