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The point-slope form of a linear equation is expressed as ( y - y_1 = m(x - x_1) ), where ( (x_1, y_1) ) is a point on the line and ( m ) is the slope. For the points (2, 1), if we assume a slope ( m ), the equation would be written as ( y - 1 = m(x - 2) ). To fully define the equation, the value of ( m ) must be known.
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The table shows the height of a plant as it grows which equation in point-slope form gives the plant's height at any time Time months Plant Height cm 3 21 5 35 7 49 9 63?
To find the equation in point-slope form, we first identify two points from the data: (3, 21) and (5, 35). The slope (m) between these points is calculated as (35 - 21) / (5 - 3) = 7. Using the point (3, 21), the point-slope form of the equation is ( y - 21 = 7(x - 3) ).
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 point slope form in standard 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.
Why cant all linear equations be written in point slope form?
Not all linear equations can be directly expressed in point-slope form because this form requires a specific point on the line and the slope. However, some linear equations, like vertical lines, do not have a defined slope (infinite slope), making it impossible to represent them in point-slope form. Therefore, while most non-vertical linear equations can be converted to point-slope form, vertical lines present an exception.
Who A line has a slope of -5 and passes through 1 -1 Which is the equation of the line in point-slope form?
The point-slope form of a line's equation is given by (y - y_1 = m(x - x_1)), where (m) is the slope and ((x_1, y_1)) is a point on the line. Given the slope (m = -5) and the point ((1, -1)), the equation in point-slope form is (y + 1 = -5(x - 1)).
What is the point-slope form of a line with slope 3 that contains the point (21)?
If you mean a point of: (2,1) then the equation works out as y = 3x-5
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.
The table shows the height of a plant as it grows which equation in point-slope form gives the plant's height at any time Time months Plant Height cm 3 21 5 35 7 49 9 63?
To find the equation in point-slope form, we first identify two points from the data: (3, 21) and (5, 35). The slope (m) between these points is calculated as (35 - 21) / (5 - 3) = 7. Using the point (3, 21), the point-slope form of the equation is ( y - 21 = 7(x - 3) ).
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 point slope form in standard 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.
Is the point slope equation the same as the point slope intercept form?
no it is different
What is the definition of a point-slope form?
point slope form is y-y1=m(x-x1). x1 and y1 are both points and m is the slope.
Why cant all linear equations be written in point slope form?
Not all linear equations can be directly expressed in point-slope form because this form requires a specific point on the line and the slope. However, some linear equations, like vertical lines, do not have a defined slope (infinite slope), making it impossible to represent them in point-slope form. Therefore, while most non-vertical linear equations can be converted to point-slope form, vertical lines present an exception.
Who A line has a slope of -5 and passes through 1 -1 Which is the equation of the line in point-slope form?
The point-slope form of a line's equation is given by (y - y_1 = m(x - x_1)), where (m) is the slope and ((x_1, y_1)) is a point on the line. Given the slope (m = -5) and the point ((1, -1)), the equation in point-slope form is (y + 1 = -5(x - 1)).
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.
How do you write anequation in point slope form?
Given a point P(a,b) and slope m, the point slope equation is (y - b)/(x - a) = m
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).
