ANSWER: [tex]y=9x-23[/tex]
EXPLANATION:
We can use the slope-formula to find the slope.
[tex]\text{Slope Formula:} \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\frac{4+5}{3-2} =m\\\\\frac{9}{1} = m\\\\9=m[/tex]
Now that we have the slope, we can plug in one of the x and y values into the slope-intercept formula to find b.
[tex]\text{Slope-Intercept Formula}:y=mx+b\\\\4=9(3)+b\\\\4=27+b\\\\-23=b[/tex]
The equation of the line that passes through (3, 4) and (2, -1) is [tex]y=9x-23[/tex]
