Answer:
[tex]y = 2x +3[/tex]
Step-by-step explanation:
Given
Parallel: [tex]y = 2x + 5[/tex]
Passes through (1,5)
Required
Determine the equation
Because it is a parallel to [tex]y = 2x + 5[/tex] then they have the slope.
The slope of [tex]y = 2x + 5[/tex] is 2 i.e. from [tex]y = mx + b[/tex]
So:
[tex]m = 2[/tex]
The line equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 2(x - 1) + 5[/tex]
[tex]y = 2x - 2 + 5[/tex]
[tex]y = 2x +3[/tex]
