Answer:
[tex]y= \frac{3}{2}x -4[/tex]
Step-by-step explanation:
To write the equation of a line, use the slope formula to first find the slope.
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2--10}{4--4}=\frac{2+10}{4+4}=\frac{12}{8}=\frac{3}{2}[/tex]
Substitute m=3/2 and the point (4,2) into Point Slope formula.
[tex]y-y_1 = m(x-x_1)\\y-2=\frac{3}{2}(x-4)\\y-2=\frac{3}{2}x -\frac{3}{2}*4\\y-2 = \frac{3}{2}x-6\\y= \frac{3}{2}x -4[/tex]
