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Graph the line.y-1= 1/5 (x+4)

Sagot :

We are given the following equation:

[tex]y-1=\frac{1}{5}(x+4​)[/tex]

Using the distributive property:

[tex]y-1=\frac{1}{5}x+\frac{4}{5}[/tex]

Adding 1 to both sides

[tex]y=\frac{1}{5}x+\frac{4}{5}+1[/tex]

Solving the operations:

[tex]y=\frac{1}{5}x+\frac{9}{5}[/tex]

To graph this line we need two points through which the line passes. The first point can be obtained by making x = 0:

[tex]\begin{gathered} y=\frac{1}{5}(0)+\frac{9}{5} \\ y=\frac{9}{5} \end{gathered}[/tex]

Therefore, the first point is (0,9/5).

The second point can be obtained by making x = 1, we get:

[tex]\begin{gathered} y=\frac{1}{5}(1)+\frac{9}{5} \\ y=\frac{10}{5}=2 \end{gathered}[/tex]

Therefore, the point is (1,2). Now we plot both points and join them with a line. The graph is:

View image JazeelM618450
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