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It means expressing the linear equation in terms of two known quantities: one point on the line and its slope.
The general form of a line is y = ax + b, where a represents the slope and b be the y-intercept. If (m,n) is a point on the line, then n = am + b, or b = (n - am). Both a and (m,n) are assumed to be known or given. The point-slope form of the line becomes y = ax + (n - am). Then we re-arrange the equation to make it more recognizable as the point-slope form.
Either express the equation as (y-n) = a(x-m) or y = a(x-m) + n.
If you use the convention that slope is designated by the letter m, and the point that is on the line designated by (x1,y1); the point-slope form is y - y1 = m(x - x1)
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Linear equations in point slope form?
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).
How do you write the point-slope form of an equation of the line described?
No line described, but here is the point slope form. Y - Y1 = m(X - X1) =============
What is the point-slope form of a line with slope that contains the point (-2 1)?
The equation of the line will also depend on its slope which has not been given and so an answer is not possible.
What is the point slope form of an equation?
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.
When does the equation of a line in slope-intercept form look just like its equation in point-slope form?
When it is a line through the origin.
