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

User Omnigazer
by
7.4k points

1 Answer

4 votes

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.

User Davidbelow
by
9.1k points

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