Answer:
[tex] y = 0.35x + 1.5 [/tex]
Step-by-step explanation:
To write an equation to represent the linear relationship in slope-intercept form, as [tex] y = mx + b [/tex], we need to determine the slope (m) and the y-intercept (b).
Find slope (m) using of the line that passes through (0, 1.5) and (100, 36.5):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{36.5 - 1.5}{100 - 0} = \frac{35}{100} = 0.35 [/tex]
The y-intercept (b) is the value of y when x = 0. It is the point where the y-axis is intercepted. Form the table, we see that y = 1.5 when x = 0. Therefore,
y-intercept (b) = 1.5
Substitute m = 0.35, and b = 1.5 into [tex] y = mx + b [/tex], to get the equation.
The equation would be:
✅[tex] y = 0.35x + 1.5 [/tex]
