Answer:
Slope = 3
y intercept = 35
Step-by-step explanation:
Given
x = time
y = letters that can not be scanned
Also, we have:
[tex](x_1,y_1) = (15,80)[/tex]
[tex](x_2,y_2) = (45,170)[/tex]
The slope is calculated as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{170-80}{45-15}[/tex]
[tex]m = \frac{90}{30}[/tex]
[tex]m = 3[/tex]
To calculate the y intercept, we need to determine the linear equation using:
[tex]y - y_1= m(x-x_1)[/tex]
Substitute values for x1, y1 and m
[tex]y - 80 = 3(x - 15)[/tex]
Open bracket
[tex]y - 80 = 3x - 45[/tex]
Make y the subject
[tex]y = 3x - 45+80[/tex]
[tex]y = 3x +35[/tex]
An equation has the general form:
[tex]y=mx + b[/tex]
Where
[tex]b= y\ intercept[/tex]
By comparison:
[tex]b = 35[/tex]
