find the equation of the line that satisfies the given conditions through (4,7) parallel to the x-axis

Answer 1

y = 7 is the line parallel to the x-axis through the point (4,7)

If a line is parallel to the x axis, it has zero slope. It has the same slope as the x axis. The x axis is the line y=0

in slope intercept form y =mx + b, y=0 is y=(0)x + 0 where 0 is the slope, and the intercept also =0

to be parallel, the line has the same 0 slope, but a different intercept.

y= 7 is in slope intercept form y=(0)x + 7

y = (0)x + b, plug in the point (4,7) to solve for b

7 =(0)(4) + b

b= 7, m=0

the parallel line is y=(0)x + 7 or y=7