What is the equation of the line that passes through the point (4,8) and has a slope of 0?

Answer 1

the equation of a line passing through the point (4, 8) and having a slope of zero can be found using the slope intercept form of an equation: y = mx +b where x = 4, slope m = 0, and y = 8

therefore, 8 = 0(4) + b

solving for b, b = 8

so the equation of the line y = mx + b becomes y = 0(x) +8 and your answer is y = 8

Answer 2

The y-value of the point (4, 8) is (obviously) 8. Since the line has a slope of zero, everywhere on the line will have a y-value of 8. So the equation of the line is y = 8.

The x-value can be any number, but the y-value will always be 8.