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The x intercept.
The slope equation is y = mx + b where m is slope for y = 3 we have y = 0 (x) +3 so m = 0 = slope So slope is zero line is constant y = 3
We usually denote the slope of a line as M. Horizontal lines have a slope of zero. Mhorizontal line = 0 Verticle lines have a slope that is undefined. Note that the slope is not infinite, but is undefined. Mvertical line = undefined To write the equation of a horizontal or vertical line, we need to know if it's going to be a slope-intercept form or a point-slope form.
You can have infinitely many lines through one specific point, each with a different equation. If you want to have a general equation for ANY line that goes through that point, use the point-slope equation for a line, and use a variable for the slope.
y=mx+b is the equation of a line in the plane in slope intercept form. The m is the slope and the b is the y intercept. There are many other forms of equations of lines.