Question

Write an equation of the line passing through point P(0,

1) that is parallel to the line y =
2x +3.
L
y =

Answer 1

y = 2x + 1

Explanation:

Parallel lines have the same slope. The slope in the equation y = 2x + 3 is 2. The slope of the parallel equation will be 2 also.

We will use the slope, and the point (0,1) to help us write the new equation.

The y intercept of the parallel line is 1. When x = 0, y is where the line will cross the y axis. So the y intercept is 1

The slope (m) is 2 and the y-intercept (b) is 1.

y = mx + b Substitute 2 for m and 1 for b.

y = 2x + 1