Question

The equation of the line passing through (3,1) parallel to the line $y=2x+3$ is .

• A. y = 2x - 5
• B. x + 2y = 5
• C. y = 2x + 1

Answer 1

The correct option is A y = 2x - 5

Given line is $y=2x+3$

Slope of the line = 2.

Let the equation of the required line be $y=mx+c$, where m is the slope and c is the y-intercept.

Since the required line is parallel to the given line, their slopes are equal.
Hence, m = 2.

The equation of the required line is $y=2x+c.$

The line passes through (3,1)

Thus, $1=2\left(3\right)+c\Rightarrow c=-5$

Hence, the equation of the required line is $y=2x-5$