Question

A line that passes through (4,6) and has a slope of zero.

Answer 1

Answer: y=6

Step-by-step explanation: as Equation of line is Y=my+b

so if m=0 and x=4and y=6

substituning in above equation

6=4.0+b we get b=6

and equation is again y=mx+b so m =0 and y =b or y=6

Answer 2

Answer: y = 6

Explanation:

A general equation of a line:

`{ \rm{y = mx + c}}`

• m is the slope
• c is y-intercept

• At point (4, 6):

`{ \rm{6 = 0 + c}} \\ \\ { \rm{c = 6}}`

• Therefore, equation is:

`{ \rm{y = 6}}`