Answer:
y=(1/4)x + 9 OR y=x/4 +9
Step-by-step explanation:
Perpendicular lines have a slope/gradient of -1/n
Because the slope of this line is -4, the slope of a line perpendicular to it would be 1/4.
y=(1/4)x+b
(0,9) is the y-intercept, so b = 9
y=(1/4)x + 9 OR y=x/4 +9
y = -9
Ok so to write the equation of the line you will need the slope and y-intercept. Since we are given two-point we can easily find the slope by using this equation for slope formula:

So now that we have our equation we can just plug in the numbers:

After subtracting you should get:
0/8
Since zero is in the numerator and you can't divide zero by anything, the slope is 0. We still need the y-intercept for the equation however since the slope is 0 there is no need to put anything else.
Then to find the y-intercept all you have to do is plug in one of the coordinatines into the slope equation to solve, for example, using the point (5,-9):

B is the variable for the y-intercept. Also notice how I put 0 as our slope into the equation. Now all you have to do is solve for b. Which you would get b = -9. Since you have your slope and your y-intercept now you just write out your equatoin for the line which is:
y = 0x - 9
**Just write it as
y = -9
if those r coordinates you can use the Pythagorean the to find the distance
plot the point and create a right triangle with the origin
could up the spaces and depending on the number, subtract the side from the hypotenuse or add the sides to find the hypotenuse
then square root both sides
Answer:
5m - 4n
5(5) - 4(3) ( As m= 5 and n= 3)
25 - 12
= 13
The common point between y = 2x + 5 and y = (1/2)x + 6 will have the same values for x and y.
Therefore, set the two y expressions equal to obtain
2x + 5 = (1/2)x + 6
Subtract (1/2)x from each side.
(3/2)x + 5 = 6
Subtract 5 from each side.
(3/2)x = 1
Multiply each side by 2/3.
x = 2/3.
From the first equation, obtain
y = 2*(2/3) + 5 = 19/3.
The common point is (2/3, 19/3). It is not equal to (3, 1/2).
Answer: False