Answer:
The equation of the line is:
[tex]y -1= 5(x - 2)[/tex]
Step-by-step explanation:
Given
Pass through [tex](2,-1)[/tex]
Parallel to: [tex]y= 5x - 2[/tex]
Required
Determine the equation in point slope form
An equation has a general form:
[tex]y = mx + c[/tex]
Where:
[tex]m = slope[/tex]
Compare: [tex]y = mx + c[/tex] to [tex]y= 5x - 2[/tex]
we have:
[tex]m = 5[/tex]
Since the line is parallel to [tex]y= 5x - 2[/tex], then they have the same slope of 5
The line equation is then calculated using:
[tex]y -y_1= m(x - x_1)[/tex]
Where
[tex]m = 5[/tex]
[tex](x_1,y_1) =[/tex] [tex](2,-1)[/tex]
So, we have:
[tex]y -1= 5(x - 2)[/tex]
