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indicate in standard form the equation of the line passing through the given points (6,2) m=-1/2

Respuesta :

gmany

Answer:

x + 2y = 10

Step-by-step explanation:

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

The point-slope form of an equation of a line:

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

m - slope

(x₁, y₁) - point

We have the point (6, 2) and the slope m = -1/2. Substitute:

[tex]y-2=-\dfrac{1}{2}(x-6)[/tex]

Convert to the standard form:

[tex]y-2=-\dfrac{1}{2}(x-6)[/tex]            multiply both sides by 2

[tex]2y-4=-(x-6)[/tex]

[tex]2y-4=-x+6[/tex]           add 4 to both sides

[tex]2y=-x+10[/tex]       add x to both sides

[tex]x+2y=10[/tex]

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