Write an equation in point slope form of the line that passes through the point (-7, 6) and has a slope of m=0.

Any line that passes  through  a point  P (x1,y1) is given by the relation of the ratio of its y distance of any point Q(x,y) from the given point P(x1,y1) to the x distance Q  to the point P is equal to its slope.

If Q(x,Y) and P(x1, y1) are the points.

(The vertical distance of Q from P measured parallel to y axis)/(the horizontal distance of Q from P measured parallel to xaxis) = slope.

(y-y1)/(x-x1)= slope. But the slope is given to be 0 (zero).

Therefore,(y-y1/(x-x1)=0 . Given x=-7 and y=6 to be the coordinates of the given point. Therefore,

y- 6=0  or y=6 . This is a straight line parallel to x axis  and is at a distance of 6 units from x axis.

Tally : y=6, it obviously is true for all values of x axis. Therefore, for x=-7. Thus the given line passes through the point (-7,6)