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When would it be best to use the slope point form to find the slope of a line?
The slope-point form, expressed as (y - y_1 = m(x - x_1)), is best used when you have a specific point on the line, ((x_1, y_1)), and the slope (m) of the line. This form is particularly useful for writing the equation of a line quickly when you know these two pieces of information. It's also effective for graphing, as it allows you to easily plot the point and use the slope to find additional points on the 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.
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 form to use when you know the slope of the line and one of the points on the line?
When you know the slope of the line and one of the points on the line, you can use the point-slope form of the equation of a line. This is expressed as (y - y_1 = m(x - x_1)), where (m) is the slope and ((x_1, y_1)) is the known point on the line. This form is particularly useful for easily writing the equation when you have both the slope and a specific point.
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).
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.
When would it be best to use the slope point form to find the slope of a line?
The slope-point form, expressed as (y - y_1 = m(x - x_1)), is best used when you have a specific point on the line, ((x_1, y_1)), and the slope (m) of the line. This form is particularly useful for writing the equation of a line quickly when you know these two pieces of information. It's also effective for graphing, as it allows you to easily plot the point and use the slope to find additional points on the 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.
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
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 an equation of the line that passes through the point 50 and is perpendicular to the line 5x 6y24 express your answer in slope-intercept form?
Here is how to solve it. First, find the slope of the given line. To do this, solve the equation for "y". That will convert the equation to the slope-intercept form. From there, you can immediately read off the slope. Since parallel lines have the same slope, the line you are looking for will have the same slope. Now you need to use the point-slope form of the equation, with the given point, and the slope you just calculated. Finally, solve this equation for "y" to bring it into the requested slope-intercept form.
What form to use when you know the slope of the line and one of the points on the line?
When you know the slope of the line and one of the points on the line, you can use the point-slope form of the equation of a line. This is expressed as (y - y_1 = m(x - x_1)), where (m) is the slope and ((x_1, y_1)) is the known point on the line. This form is particularly useful for easily writing the equation when you have both the slope and a specific point.
How do you find the slope of the tangent line to each curve at the given point?
By differentiating the answer and plugging in the x value along the curve, you are finding the exact slope of the curve at that point. In effect, this would be the slope of the tangent line, as a tangent line only intersects another at one point. To find the equation of a tangent line to a curve, use the point slope form (y-y1)=m(x-x1), m being the slope. Use the differential to find the slope and use the point on the curve to plug in for (x1, y1).
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 does using the point slope form a linear equation make it easier to write the equation of a line?
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
How does using the point slope form of a linear equation make it easier to write the equation of a line?
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
How does using the point-slope form of a linear equation make it easier to write the equation of a line?
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
