ANSWER
[tex]y=5x-6[/tex]EXPLANATION
Let the two points be (2, 4) and (3, 9).
The general form of the equation of a straight line is given by:
[tex]y=mx+b[/tex]where m = slope
b = y-intercept
First, we have to find the slope of the line using the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where (x1, y1) and (x2, y2) are the two points that the line passes through
Therefore, the slope of the line is:
[tex]\begin{gathered} m=\frac{9-4}{3-2}=\frac{5}{1} \\ m=5 \end{gathered}[/tex]Now, we find the equation of the line using the point-slope method:
[tex]y-y_1=m(x-x_1)[/tex]Therefore, the equation of the line is:
[tex]\begin{gathered} y-4=5(x-2) \\ y-4=5x-10 \\ y=5x-10+4 \\ y=5x-6 \end{gathered}[/tex]