Answer:
y = 6
Step-by-step explanation:
Let the y-intercept form of the equation of the line is,
y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the passing through (0, 6) and (5, 6) will be,
m = [tex]\frac{6-6}{0-5}[/tex]
m = 0
Equation of the line with m = 0 will be,
y = 0 + b
y = b
Since, line passes through (0, 6),
By substituting the values in the equation,
b = 6
Therefore, standard equation of the line passing through (0, 6) and (5, 6) will be,
y = 6
