Answer:
Step-by-step explanation:
The point of intersection of
and
is the solution of the two equations.
We add equation (1) and equation(2) to get,
We put 
into equation (1) to get,
Therefore the line passes through the point, 
.
The line also passes through the point of intersection of
and
We subtract equation (3) from equation (4) to obtain,
We substitute this value into equation (4) to get,
The line also passes through
The slope of the line is
The equation of the line is
is the required equation
Answer: 135.8
Step-by-step explanation:
the formula for this is πr²H/3
π4.4^2x6.7/3
407.5/3
135.8
Standard form is another way of saying slope-intercept form. The equation you have there is in point-slope form, so we must convert this to slope-intercept form to get our final answer.
In point-slope form (y - k = m(x - h)) k is the y-value, h is the x-value, and m is the slope. All we must do is change your equation's form into standard form, or slope-intercept form which looks like this: (y = mx + b), where m is the slope and b is the y-intercept.
Convert this equation y + 1 = 2/3(x + 4) into standard/slope-intercept form.
y + 1 = 2/3(x + 4)
y + 1 = 2/3x + 2.666 Here we multiplied 2/3 by x and 4 since x + 4 is in parenthesis next to 2/3.
y + 1 - 1 = 2/3x + 2 2/3 - 1 Now we want to get y by itself so the form will look like y = mx + b, so we subtract the 1 from both sides of the equation. (2 2/3 is a mixed fraction that is equal to 2/3*4.)
y = 2/3x + 1 2/3
This is our final answer since it is in the standard, or slope-intercept form. Hope this made sense! If you have any questions please ask.
Answer:
y - 3 = (5/3)(x - 6)
Step-by-step explanation:
The usual first step is to determine the slope of the given line.
In this case the slope is -3/5.
A line perpendicular to this given line would have a slope of 5/3, which is the negative reciprocal of -3/5.
This new line goes thru (6, 3) and has a slope of 5/3. Thus, the equation of the line in point-slope form is
y - 3 = (5/3)(x - 6)
Double check that you have copied the problem down correctly. The slope of the line represented by -3x - 5y = 17 is neither 2 nor -2; it is -3/5, and so the slope of a line perpendicular to -3x - 5y = 17 is +5/3.
