Can someone check this for me please?
2 answers:
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Point slope form is used when we have the information of at least two coordinates that lie on the line
For example:
Given that coordinate (3, 4) and (6, 7) lies on a straight line.
We work out the equation of the line by substituting the two coordinates into the formula (y - y₁) = m(x - x₁) where (x₁, y₁) could be either (3, 4) and (6, 7).
We would need to use both coordinates to work out the gradient (m) by using the formula:
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The slope intercept form is used when we are given enough information to work out the gradient as well as the y-intercept.
For example:
Given two coordinates (3, 5) and (0, 9)
This information can help to find the gradient and the y-intercept.
The y-intercept would be at 9 because the (0, 9)
We calculate the gradient m
Then substitute into y=mx+c which is the slope intercept form.
For example:
Given that coordinate (3, 4) and (6, 7) lies on a straight line.
We work out the equation of the line by substituting the two coordinates into the formula (y - y₁) = m(x - x₁) where (x₁, y₁) could be either (3, 4) and (6, 7).
We would need to use both coordinates to work out the gradient (m) by using the formula:
----------------------------------------------------------------------------------------------------------------
The slope intercept form is used when we are given enough information to work out the gradient as well as the y-intercept.
For example:
Given two coordinates (3, 5) and (0, 9)
This information can help to find the gradient and the y-intercept.
The y-intercept would be at 9 because the (0, 9)
We calculate the gradient m
Then substitute into y=mx+c which is the slope intercept form.
The volume of a cylinder is equal to , where r is the radius of the cylinder and h is its height.
324 =
324 = x 3.14 x
x 1
309.55 =
r =
r = approx. 17.59 inches
I hope this answer helped you! If you have any questions, feel free to ask away.
Given:
The equation of given line is
A line is perpendicular to the given line and passes through the point (9,5).
To find:
The equation of the perpendicular line.
Solution:
We have,
On comparing this equation with slope intercept form , we get
It means, the slope of the given line is 3.
The product of slopes of two perpendicular lines is -1.
Point slope form of a line is
Where, m is the slope.
The slope of perpendicular line is and it passes through the point (9,5). So the equation of the line is
Adding 5 on both sides, we get
Therefore, the equation of required line is .