The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have (3, 6) and (0, 4)
Substitute:
[tex]m=\dfrac{4-6}{0-3}=\dfrac{-2}{-3}=\dfrac{2}{3}[/tex]
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The slope-point formula:
[tex]y-y_1=m(x-x_1)[/tex]
We have:
m = 2.6 and (-5.1, 3.8)
Substitute:
[tex]y-3.8=2.6(x-(-5.1))\\\\y-3.8=2.6(x+5.1)[/tex]
