Question

5. What is the equation of a line parallel to the x-axis

that passes through the point (4,5)? What is the
slope of this line?

Answer 1

Equation of line is y = 5

Slope of the line = 0

Explanation:

Parallel to x-axis: Gradient is zero

y = mx + c (Linear equation of a line)

m represents the gradient of the line

Since gradient is zero, m = 0

Hence, y = c

c represents the y-intercept of the line

As the line passes through (4, 5), y coordinate of the point is 5, hence y intercept is also 5.

c = 5.

Hence, equation of line is y = 5.

Slope of the line = 0