Question

x. y.-10. -4-5. -215. 625. 10 what is the m and b, and equationis it proportional or nonproportional?

Answer 1

The general formula for a straight line function is given by:

`y=mx+b`

We can pick any of the ordered pair to calculate the gradient, we have"

`\begin{gathered} slope(m)=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)_{} \\ (x,y)=(-10,-4),(-5,-2) \\ m=(-4--2)/(-10-5)=(2)/(-15)=-(2)/(15) \\ m=-(2)/(15) \end{gathered}`

We proceed by using the point slop formula to solve for b:'

`\begin{gathered} y-y_1=m(x-x_1) \\ y--4=-(2)/(15)(x--10)\Rightarrow y+4=-(2)/(15)x-(4)/(3) \\ y+4=-(2)/(15)x-(4)/(3)\Rightarrow y=-(2)/(15)x-(16)/(3) \\ y=-(2)/(15)x-(16)/(3) \\ \\ y=mx+b \\ b=-(16)/(3) \\ b\\e0 \\ \therefore b\text{ is }nonproportional \end{gathered}`