A straight line's equation is generally represented as [tex]y = mx + c[/tex].
The equation of the line is: [tex]y = 0.4x +0.2[/tex]
The points are given as:
[tex](x_1,y_1) =(1.0.6)[/tex]
[tex](x_1,y_1) =(-9.-3.4)[/tex]
First, we calculate the slope (m) of the line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives
[tex]m = \frac{-3.4 - 0.6}{-9-1}[/tex]
[tex]m = \frac{-4}{-10}[/tex]
[tex]m = 0.4[/tex]
The equation of the line is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = 0.4(x - 1) + 0.6[/tex]
Open brackets
[tex]y = 0.4x - 0.4 + 0.6[/tex]
[tex]y = 0.4x +0.2[/tex]
Hence, the equation of the line is: [tex]y = 0.4x +0.2[/tex]
See attachment for illustration
Read more about equation of lines at:
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