The slope of the line is 745, the y-intercept of the line is 500 and the equation of the line is y = 745x + 500
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]
We have points on the graph:
(2, 1990) (5, 4225) (9, 7205)
The slope can be found using two points:
[tex]\rm m =\dfrac{4225-1990}{5-2}\\[/tex]
m = 745
The line can be written as:
y = mx + c
y = 745x + c
Plug point (2, 1990)
1990 = 745x + c
1990 = 745(2) + c
c = 500
y = 745x + 500
The pace of increase in money per month is represented by the slope.
Every month, the sum increases by $745.
The initial quantity of money when the business opened is represented by the y-intercept.
The company began with a $500 investment.
Thus, the slope of the line is 745, the y-intercept of the line is 500 and the equation of the line is y = 745x + 500
Learn more about the straight line here:
brainly.com/question/3493733
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