Question

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​

Answer 1

Answer:
`y=-5x+16`

Step-to-step explanation:

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

`(y-b)=m(x-a)`

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 :-

`(y-6)=-5(x-2)\\\\\Rightarrow\ y-6=-5x+10\\\\\Rightarrow\ y=-5x+10+6\\\\\Rightarrow\ y=-5x+16`

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

Answer 2

y=-5x + 16​

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