The equation of the line is:
[tex]y = 0.2x[/tex]
The slope is of $0.2, which means that the tip increases $0.20 for each dollar spent on the meal.
The equation of a line, in slope-intercept form, is:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- When x = 0, y = 0, thus the y-intercept is [tex]b = 0[/tex].
- When x = 10, y = 2, thus, considering that the slope is given by change in y divided by change in x:
[tex]m = \frac{2 - 0}{10 - 0} = 0.2[/tex]
The equation of the line is:
[tex]y = 0.2x[/tex]
x is the cost of the meal, y is the tip, thus, the slope is of $0.2 means that the tip increases $0.20 for each dollar spent on the meal.
A similar problem is given at https://brainly.com/question/22566209