Answer:
[tex]y = 2x-5[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (3,1)[/tex]
Parallel to: [tex]y = 2x + 3[/tex]
Required
Determine the line equation
First, we calculate the slope of [tex]y = 2x + 3\\\\[/tex]
For an equation in the form [tex]y = mx + c[/tex]
[tex]m = slope[/tex]
So, by comparison:
[tex]m = 2[/tex]
The line equation is then calculated:
[tex]y - y_1 = m(x - x_1)[/tex]
Where [tex](x_1,y_1) = (3,1)[/tex] and [tex]m = 2[/tex]
So, we have:
[tex]y - 1 = 2(x - 3)[/tex]
[tex]y-1 = 2x-6[/tex]
[tex]y = 2x-6+1[/tex]
[tex]y = 2x-5[/tex]
