To find the slope, we use two points from the table (-3, 1.5) and (0,3).-
Now, we use the slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Replacing the points, we have
[tex]m=\frac{3-0.5}{0-(-3)}=\frac{2.5}{3}=\frac{\frac{5}{2}}{3}=\frac{5}{6}[/tex]On the other hand, the starting point refers to the initial condition or the y-intercept which is given by the point (0,3).
At last, the equation would be
[tex]y=\frac{5}{6}x+3[/tex]Remember that the slope must be a coefficient of x, and the starting point is the independent term.
