Respuesta :
A) The y-intercept of the given is 43.13 and coordinates is,
[tex](x_1,y_1)=(45,37.25)\\(x_2,y_2)=(118,40.90)[/tex]
B) The y-intercept represent the constant variable.
What is y-intercept?
In mathematics, the intersection point is the point on the y-axis through which the slope of the line passes. The y-intercept is where the line or curve intersects or touches the y-axis. This is the vertical, often dark line in the middle of the chart. The y-intercept of a chart is the point where the chart intersects the y-axis. Y-INTERCEPT means the y-coordinate of the point where the line, curve, or surface intersects the y-axis.
in given problem take number of text represent as x coordinate and cost of month represent y coordinate , then
[tex](x_1,y_1)=(45,37.25)\\(x_2,y_2)=(118,40.90)[/tex]
Now using slope formula ,
slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> slope m = 3.65/73 = 0.05
Now using equation formula ,
[tex]y-y_1=m(x-x_1)[/tex]
=> y-45 = 0.05(x-37.25)
=> y-45 = 0.05x-1.8625
=> y= 0.05x+45-1.8625
=> y = 0.05x+43.13
Here we know that equation general form is y = mx+b , where b is
y intercept.
Therefore y intercept is 43.13 and it represent the constant variable.
To learn more about y-intercept refer the below link
https://brainly.com/question/12691869
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