From the given graph, there are 2 points on it
(0, 3) and (2, 5)
∵ The form of the slope-intercept is y = m x + b, where
→ m is the slope of the line
→ b is the y-intercept (value y at x = 0)
∵ The rule of the slope is
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Where (x1, y1) and (x2, y2) are two points on the line
∵ (0, 3) and (2, 5) lie on the line
∴ x1 = 0 and y1 = 3
∴ x2 = 2 and y2 = 5
→ Substitute them in the rule of the slope to find it
[tex]\begin{gathered} \because m=\frac{5-3}{2-0} \\ \therefore m=\frac{2}{2}=1 \end{gathered}[/tex]→ Substitute the value of m in the form of the equation above, but replace
y by f(h) and x by h
[tex]\begin{gathered} \therefore f(h)=1(h)+b \\ \therefore f(h)=h+b \end{gathered}[/tex]∵ b is the value of y at x = 0
∵ At x = 0, y = 3
∴ b = 3
→ Substitute the value of b in the equation above
[tex]\therefore f(h)=h+3[/tex]∴ The equation of the meteorologist's line is f(h) = h + 3, where
f(h) is the amount of snow and h, is the time
