Answer:
Option D
Step-by-step explanation:
Let the equation of the line passing through the points given in the table is,
y = mx + b
Here, m = slope of the line
b = y-intercept of the line
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (2, 8.5) and (5, 21.25) will be,
m = [tex]\frac{21.25-8.5}{5-2}[/tex] = 4.25
Equation of the line will be,
y = 4.25x + b
Since, this line passes through another points (10, 42.50),
Substituting the coordinates in the equation,
42.50 = 4.25(10) + b
42.50 = 42.50 + b
b = 0
y-intercept of the line is 0.
Option D is the answer.
