Answer: [tex]y=\frac{3}{4}x+3[/tex]
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.
[tex]y=\frac{3}{4}x+b[/tex] [plug in (8,9)]
[tex]9=\frac{3}{4}(8)+b[/tex] [multiply]
[tex]9=6+b[/tex] [subtract both sides by 6]
[tex]b=3[/tex]
Now that we have b, we can complete the equation to [tex]y=\frac{3}{4}x+3[/tex].
