[tex]\begin{gathered} \text{Equation of a linear equation is y = mx+c} \\ \end{gathered}[/tex]
m = slope
c = y-intercept
[tex]m\text{ =}\frac{y_2-y_1}{x_2-x_1}[/tex]
y1 = 6
y2=8
x1 =4
x2 = 8
[tex]\begin{gathered} \text{Slope = }\frac{8\text{ -6}}{8-4} \\ \text{slope =}\frac{2}{4}=\frac{1}{2} \end{gathered}[/tex]
Equation now becomes , y = 1/2x +c
using two corresponding values of x and y
6 = 1/2 (4) +c
c = 6 -2=4
y-intercept = 4
Therefore the linear equation is
[tex]y\text{ = }\frac{1}{2}x+4[/tex]
