Point Slope form is important because it can give us another set of coordinate pairs when we are only given one. When you have the two coordinate pairs, we are able to find the slope of the line using
Y2-Y1
-------
X2-X1
Note: The slope is used to find how much y changes(increase/decreases) when x increases by one.
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Point-slope form is written as: y-y1=m(x-x1), where (x1, y1) is a point on the line and m is the slope (hence the name, point-slope form).
Point slope form is standard form. To change point slope form into general form, simply multiply both sides by the denominator of the slope, and move everything onto one side.
Point-slope form is just another way to express a linear equation. It uses two (any two points that fall on the line) and the slope of the line (Therefore the name point-slope form).y2 - y1 = m(x2 - x1)...with m as the slope.
Given a point P(a,b) and slope m, the point slope equation is (y - b)/(x - a) = m
y=mx+b is slope-intercept form y - y1 = m(x - x1) is point-slope form Used in algebra based math. On a graph; m is the slope b is the y-intercept x and y represent points