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Let : A ≡ ( x1, y1 ) ≡ ( 4, - 4), B ≡ ( x2, y2 ) ≡ ( 9, -1 ).
Then, slope of line AB is
m = ( y₂ - y₁ ) / ( x₂ - x₁ ) = (-1 + 4 ) / ( 9 - 4 ) = 3/5
Hence, equation of line AB in Point-Slope Form is
y - y₁ = m ( x - x₁ )
y + 4 = (3/5) ( x - 4 ) .................... (1)
5y + 20 = 3x - 12
5y = 3x - 32
y = (3/5)x + (-32/5) ....................... (2)
This is the Slope-Intercept Form
y = mx + b.
The form which is easier to get is
Slope-Point Form. But this is one's
personal choice.
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What is the point-slope form for 3 7?
You need two points before you can calculate the slope.
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.
What the slope intercept form of the points -65 and 814?
that is one point, you need at least two for a line.
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.
When creating a line using the slope-intercept form always plot atleast three?
In the case that you are using Slope-Intercept Form, no, you only plot two points: the y-intercept and one other point. If you don't use Slope-Intercept Form, then you have to use three points.
What is the point-slope form for 3 7?
You need two points before you can calculate the slope.
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.
What the slope intercept form of the points -65 and 814?
that is one point, you need at least two for a line.
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.
When creating a line using the slope-intercept form always plot atleast three?
In the case that you are using Slope-Intercept Form, no, you only plot two points: the y-intercept and one other point. If you don't use Slope-Intercept Form, then you have to use three points.
What is the slope of the equation through points -1-4?
Two sets of points are needed to determine the slope of a line
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.
How do you find the slope at one point?
To find the slope, you must have at least two points, not one. You cannot find the slope at one point, because coordinate points do not have slopes - lines have slopes.
How do you write a linear equation given two points?
To write a linear equation given two points, you can first calculate the slope using the formula: slope = (y2 - y1) / (x2 - x1). Once you have the slope, you can choose one of the points to substitute into the point-slope form of a linear equation: y - y1 = m(x - x1), where m is the slope and (x1, y1) is one of the points.
If three points are given then how do you prove that they are collinear?
0). Considering any TWO points, you can calculate the slope of the line between them like this: Slope = (difference between the y-values of the two points) divided by (difference between the x-values of the two points). Use this technique to examine your THREE points, like this: 1). Calculate the slope of the line between Point-2 and Point-1. 2). Calculate the slope of the line between Point-3 and Point-1. 3). If the two slopes are equal, then the three points all lie on the same line.
How do you find the height of a slope given two points?
To find the slope (steepness, not height) of a line when given two points, do the following: Slope = (y2-y1)/(x2-x1), where (x1, y1) is one point, and (x2,y2) is the second point.
What statement best compares a line and a point?
In my opinion a point is just a point on a graph A line is two points or more points with a certain slope
