First Find Slope
(3,5) (9,8)
[tex] \frac{ 8 - 5}{ 9 - 3} = \frac{ 3}{6} = \frac{1}{2} = slope \: \: [/tex]
Put In Point-Slope Form: We Can Choose Any Of The Two Coordinates
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 5 = \frac{1}{2} (x - 3)[/tex]
Now We Need It In Slope Intercept Form
We Need To Put This In Respect To Y
Slope Intercept Form
[tex]y = mx + b[/tex]
Respect To Y
[tex]y - 5 = \frac{1}{2} (x - 3) \: \\ y - 5 = \frac{1}{2} x - \frac{3}{2} \\ y = \frac{1}{2} x - \frac{3}{2} + 5 \\ y = \frac{1}{2}x + \frac{7}{2} [/tex]
ANSWER
[tex]y = \frac{1}{2}x +\frac{7}{2} \: [/tex]
OR
[tex]y = 0.5x + 3.5\: [/tex]
The One With The Decimals Is Probably The Form Of The Answer You Want To Enter
