Question

19
m = 0
(5, 2)

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a line is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Step2: Substitute \( m = 0 \) and \( (x, y) = (5, 2) \)

Substitute \( m = 0 \), \( x = 5 \), and \( y = 2 \) into \( y = mx + b \):
\( 2 = 0 \times 5 + b \)
Simplify: \( 2 = 0 + b \), so \( b = 2 \).

Step3: Write the equation

Substitute \( m = 0 \) and \( b = 2 \) back into \( y = mx + b \):
\( y = 0x + 2 \), which simplifies to \( y = 2 \).

Answer:

The equation of the line is \( y = 2 \).