Question

Writing an equation in slope intercept form for the line passing through each pair of point . (0, 3) and ( 1, -2)

Answer 1

Data:

• Point ,A( 0, 3 )

,

• Point ,B( 1, -2 )

,

• Equation in slope-intercept form:

`y=mx+b`

Procedure:

0. Finding the slope ( ,m ,):

`m=(y_2-y_1)/(x_2-x_1)=(-2-3)/(1-0)=(-5)/(1)`
`m=-5`

2. Finding the intersection with y-axis ( b ) using point A:

`\begin{gathered} y=mx+b \\ 3=(-5)\cdot0+b \\ b=3 \end{gathered}`

Answer:

`y=-5x+3`

Summary:

0. We found the slope of the equation ( ,m ,)

,

1. We found the intersection with the ,y-axis ,( ,b ,)

,

2. We displayed the values in the correct position of the equation.