Respuesta :
Answer:
Y=6x+2
Step-by-step explanation:
6×5=30+2=32
6×8=48+2=50
6×11=66+2=68
Option C will be the correct option.
Given in the question,
- Fee charged is given by 'y'.
- Number of minutes late is given by 'x'.
If the fee charged is plotted on y-axis and number of minutes late on x-axis of the graph,
(5, 32)and (8, 50) will be two points on linear graph,
y = mx + b
Here, m = Slope of the line
b = y-intercept
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_1,y_2)[/tex] is given by the expression,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through the points (5, 32) and (8, 50) will be,
Slope = [tex]\frac{50-32}{8-5}[/tex]
= 6
Therefore, equation of the line will be,
y = 6x + b
Since, this line passes through a point (11, 68),
68 = 6(11) + b
b = 68 - 66
b = 2
Therefore, equation of the line will be,
y = 6x + 2
Hence, Option C will be the correct option.
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