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

Sagot :

Answer:

Y = 1/5 x + 8/5

Explanation:

The equation of a line in slope intercept form is

[tex]y=mx+b[/tex]

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

[tex]y=\frac{1}{5}x+b[/tex]

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

[tex]2=\frac{1}{5}(2)+b[/tex][tex]2=\frac{2}{5}+b[/tex]

subtracting 2/5 from both sides gives

[tex]2-\frac{2}{5}=b[/tex][tex]b=\frac{8}{5}=1.6[/tex]

Hence the equation of the line is

[tex]y=\frac{1}{5}x+\frac{8}{5}[/tex]

The graph of the equation is given below.

View image CaydeD719477
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