Question

Write the slope-intercept form of the equation of the line described. through: (5,2), parallel to y = 3

Answer 1

y = 2

Explanation:

`P=(5,\,2)\quad\implies\quad x_p=5\,,\quad y_p=2`

The slope-intercept form the equation of the line:

y = mx + b

Two lines are parallel if they hav the same slope.

no x in given line means m = 0 ⇒ y = b

The line goes through P so:
`y_p=b`

2 = b

b = 2

so ithe equation of line parallel to given is:

y = 2