Data:
• Point ,A( 0, 3 )
,• Point ,B( 1, -2 )
,• Equation in slope-intercept form:
[tex]y=mx+b[/tex]Procedure:
0. Finding the slope ( ,m ,):
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-2-3}{1-0}=\frac{-5}{1}[/tex][tex]m=-5[/tex]2. Finding the intersection with y-axis ( b ) using point A:
[tex]\begin{gathered} y=mx+b \\ 3=(-5)\cdot0+b \\ b=3 \end{gathered}[/tex]Answer:
[tex]y=-5x+3[/tex]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.
