Question

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

Answer 1

Answer:

              y = 2

Step-by-step 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