Answer:
1) point-slope form
2) slope intercept form
Explanation:
1) y−b=m(x−a)
m = slope
(a, b) A point that the line passes through
2) y=mx+b
m = slope
b = y-intercept
The required difference between slope intercept form and point-slope form line is when we have slope and y-intercept we use slope-intercept equation and when we have coordinates of a point on the line we use the point-slope form of the line.
The slope of the line is the tangent angle made by the line with horizontal. i.e. m =tanx where x in degrees.
The slope-intercept form of the equation of a line is,
y = mx +c - - - - - - (1)
The point-slope form of the line is given by,
(y - y1) = m(x - x1) - - - - - - (2)
where m is the slope of equation and m = (y2 - y1) / (x2 - x 1).
Thus, we use a slope-intercept form of the equation when we have given the slope of the line and y-intercept of the line. when we have a coordinate of one point and slope or more than two coordinates of points on the line so we use the point-slope form of the equation.
Learn more about slopes here:
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