12. Fine the slope of the line that goes through (3,0) and (5, -1)?

Question

a.-2
b. 2
c. 8
d. 1\2


14. Find the slope of a line perpendicular to the line passing through the points (-1,4) and (8,1).
a. -3
b.-1\3
c.1\3
d. 3


Thanks for the help much appreciated will pick a best answer ASAP

Answer 1

12. answer should be -1/2 which is not one of your choices.
m = (-1 - 0) /(5 - 3)
m = -1/2

14. m = (1 - 4)/(8- (-1))
m = (-3)/9
m = -1/3

thus perpendicular line will have slope = 3

Answer 2

Dear Mr. Matt, R.:

12). The slope of the line which goes through the given points
( 3,0) and ( 5, -1) is determined to be:

m = change in y/ change in x

m = -1 -0 / 5 -3 = -1/2


14). Find the slope of a line perpendicular to the line that is passing through the points ( -1,4 ) and ( 8,1).


m1 = ( y2 - y1)/ ( x2 - x1)

m1 = ( 1 - 4 )/ (8 - (-1) ) = - 3/ 9 = - 1/3

For perpendicular lines the slopes are the negative reciprocals of one another, therefore:

m1*m2 = -1 and m2 = -1/m1

m2 = -1/( -1/3 ) = -1 * -3 = 3

Therefore, the slope of the line that is perpendicular to the line
passing through the points of ( -1, 4 ) and ( 8, 1 ) is m2 = 3.


Sincerely:
[e-mail]
(a.k.a. calvaliear)

Answer 3

Remember that for a straight line you only need two points(independent variable, x-axis) to define it.
The slope of a line is described as rise over run, or another way is the change in y divided by the change in x.
For your question then
(-1-0)/(5-3)=-1/2, you should check your choices again, because the answer is -1/2

For the second question, you need to know that when two lines are perpendicular, their slopes are the negative inverse of each other
We first find the slope of the line you are given
(1-4)/(8-(-1))=(-3/(8+1))=-3/9=-1/3, and the negative inverse of this is just -(-3)=3

Answer 4

the formula for slope given the coordinates of 2 points on the line is : y2-y1/x2-x1. substituting the given values, we get:
-1-0/5-3 = -1/2, which is not in the given values.
the slope of the line passing through (-1,4) and (8,1) is:
1-4/8-(-1) = -1/3, and the slope of a perpendicular line through the same point is its negative reciprocal, or 3, which is the value indicated in (d).

Answer 5

slope=y-y/x-x
-1-0/5-3=-1/2

slopes of perpendicular lines are the negative reciporical.
so first find slope:
1-4/8-(-1)=-3/9
so the slope of the first line (simplified) is -1/3
so the negative reciporical of that is 3

Answer 6

x1=3
y1=0
12).

x2=5
y2=-1

m=(y2-y1)/(x2-x1)

m=(-1-0)/(5-3)

m= -1/2

14).

slope of line=(y2-y1)/(x2-x1)=m
slope of line=(1-4)/(8-(-1))= -1/3
m=-1/3

slope of perpendicular line= -1/m


slope of perpendicular line=3

Answer 7

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