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Choose the equation that represents the line that passes through the point (2,6) and has a slope of -5
y=-5x + 2
y=-5x6
y=-5x - 4
y=-5x + 16​

Respuesta :

Gasaqui

Answer:

y=-5x + 16​

Step-by-step explanation:

we know equation of the line:

y=mx+b

m=slope=-5

point (2,6) where x=2 and y=6

so in y=mx+b  we found "b"

6=-5(2)+b

6=-10+b

6+10=b

16=b

finally we have

y=-5x+16

JeanaShupp

Answer: [tex]y=-5x+16[/tex]

Step-to-step explanation:

We know that the equation of a line that passes through point (a,b) with slope 'm' is given by :-

[tex](y-b)=m(x-a)[/tex]

Given : Point =  (2,6)   and  slope = -5

Then, the equation of a line that passes through point (2,6) with slope '-5' is given by :-

[tex](y-6)=-5(x-2)\\\\\Rightarrow\ y-6=-5x+10\\\\\Rightarrow\ y=-5x+10+6\\\\\Rightarrow\ y=-5x+16[/tex]

Hence, the equation of a line that passes through point (2,6) with slope '-5' will be [tex]y=-5x+16[/tex].

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