Question

15. Write an equation of a line in standard form that: 2x + 5 passes through the point (1, 5) and is parallel to y=2x+5​

Answer 1

Answer:

$y = 2x +3$

Step-by-step explanation:

Given

Parallel: $y = 2x + 5$

Passes through (1,5)

Required

Determine the equation

Because it is a parallel to $y = 2x + 5$ then they have the slope.

The slope of $y = 2x + 5$ is 2 i.e. from $y = mx + b$

So:

$m = 2$

The line equation is then calculated using:

$y = m(x - x_1) + y_1$

$y = 2(x - 1) + 5$

$y = 2x - 2 + 5$

$y = 2x +3$