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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.
How do write an equation of a line when given the slope a point of the line?
if a line has a slope of -2 and a point on the line has coordinates of (3, -5) write an equation for the line in point slope form
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).
Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point 1 1?
Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1, 1).
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) =============
Describe a situation in which point-slope form would be more useful than slope-intercept form?
You use point-slope form to find the equation of a line if you only have a point and a slope or if you are just given two point. Usually you will convert point-slope form to slope-intercept form to make it easier to use.
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.
What do you need to use the point slope formula?
The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.
-2 -5 7 -6 in point slope form?
Point slope form of y-7=-3x identifies the line that pass through the slope of line (-2 -5) (7 -6).
Write in slope intercept form the equation of the line that is parallel to the given line and passes through the given point?
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
How do you find a line that goes through a given point?
You need either a point and the slope of the line or two points. Then you use the point slope form of the line or the slope intercept form to write the lines.A given point has an infinite number of lines going through it, that is why you need more information.
