Answer:
[tex]y=3x-22[/tex]
Step-by-step explanation:
1. Start with the slope-intercept form: y=mx+b
2. Find the slope using the formula to find slope: [tex](y_2-y_1)/(x_2-x_1)[/tex] :
(5-2)/(9-8) = 3, slope is 3.
3. Plug in the slope into the slope-intercept formula, then solve for the y-intercept (b) using any point:
[tex]y=3x+b[/tex] -> [tex]2=8*3+b[/tex] -> [tex]2=24+b[/tex] -> [tex]-22=b[/tex]
4. Final equation: [tex]y=3x-22[/tex]
