Question

Given two points (-3,1)(4,-1) are on a line.write an equation in slope intercept form the line

Answer 1

we have the following:

`m=(y_2-y_1)/(x_2-x_1)`

replacing,

y2 = -1

y1 = 1

x2 = 4

x1 = -3

`m=(-1-1)/(4-(-3))=--(2)/(7)`

therefore:

`\begin{gathered} y=m\cdot x+b \\ -1=-(2)/(7)(4)+b \\ b=-1+(8)/(7) \\ b=(1)/(7) \end{gathered}`

Therefore, the equation is:

`y=-(2)/(7)x+(1)/(7)`