In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
point 01 (4 , 2)
point 02 (6 , 5)
Step 02:
equation of the line:
slope:
[tex]m=\frac{y2-y1}{x2-x1}=\frac{5-2}{6-4}=\frac{3}{2}[/tex]Point-slope form of the line
(y - y1) = m (x - x1)
[tex]\begin{gathered} (y-2)=\frac{3}{2}(x-4) \\ \\ (y-2)=\frac{3}{2}x\text{ -}\frac{12}{2} \\ \\ y-2=\frac{3}{2}x-6 \\ \\ y=\frac{3}{2}x-6+2 \\ \\ y=\frac{3}{2}x-4 \end{gathered}[/tex]The answer is:
y = 3/2 x - 4
