Question

9. Write an equation for the line that is parallel to the given line and that passes through the given point.

y = 2x + 7; (3, 11)​

Answer 1

y -11 = 2(x -3)

Explanation:

The slope of the given line is the x-coefficient: 2. The parallel line will have the same slope.

When you know the slope and a point on the line, it is convenient to use the point-slope form of the equation of a line:

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

Your line's equation is ...

y -11 = 2(x -3)