Question

Choose the equation that represents the line that passes through the point (2,6) and has a slope of -5

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

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