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What is the equation that represents the line that passes through the point (6,-3) and has a slope of 1/2

Respuesta :

Answer:

y=1/2x-6

Step-by-step explanation:

Use y=mx+b to substitute the slope for m and (6, -3) for y and x to find b.

-3=1/2(6)+b

-3=3+b

b=-6

The equation is y=1/2x-6

Answer: [tex]2y = x - 12[/tex]

Step-by-step explanation:

The formula for calculating the equation of line when a point and slope is given is :

[tex]y-y_{1}=m(x-x_{1})[/tex]

[tex]x_{1}=6[/tex]

[tex]y_{1}=-3[/tex]

[tex]m=\frac{1}{2}[/tex]

substituting into the formula , we have

[tex]y-(-3)=\frac{1}{2}(x-6)[/tex]

[tex]y+3=\frac{1}{2}(x-6)[/tex]

[tex]2(y+3) = x - 6[/tex]

[tex]2y + 6 = x - 6[/tex]

subtract 6 from both sides

[tex]2y - x = -6-6[/tex]

[tex]2y - x = -12[/tex]

it could also be written as :

[tex]2y = x - 12[/tex]