Answer:
The equation of the line is y = 3 x - 5.
Step-by-step explanation:
The slope intercept form of the equation of a straight line is:
[tex]y=mx + b[/tex]
Here,
m = slope
b = intercept.
The two points are:
A = (2, 1)
B = (3, 4)
Use two-point form method to determine the equation of straight line.
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]
[tex](y-1)=\frac{4-1}{3-2}\ (x-2)[/tex]
[tex]y-1=3(x-2)\\y-1=3x-6[/tex]
[tex]y=3x-5[/tex]
Thus, the equation of the line is y = 3 x - 5.
