Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
Data of the first line:
m=-5
b=y-intercept=3 (y-intercept=it is the value of "y" when x=0)
y=-5x+3
A line perpendicular to the line y=mx+b will have the following slope:
m`=-1/m
Therefore: the line perpendicular to the line y=-5x+3 will have the following slope:
m´=-1/(-5)=1/5
Point-slope form of a line: we need a point (x₀,y₀) and the slope (m):
y-y₀=m(x-x₀)
We know, the slope (m=1/5) and we have a point (3,2) therefore:
y-y₀=m(x-x₀)
y-2=1/5(x-3) (point-slope form)
y-2=(1/5)x-3/5
y=(1/5)x-3/5+2
y=(1/5)x+7/5 (slope-intercept form)
Answer: the line perpendicular to the first line will be: y=(1/5)x+7/5
Answer:
(C) (2,0)
Step-by-step explanation:
The mid point of the line segment is defined as the point on that line that divides the line segment in to two congruent segments and is denoted as:
Mid point=
Now, the line segment having the points (-2,4) and (6,-4) has the mid point:
Mid point= 
=
Hence, the mid point of the given line segment is: (2,0)
Therefore, Option C is correct.
sorry I don't solve this problem
The handshake is an illustration of combination, and the values of n and r are 21 and 2, respectively
<h3>How to determine the values of n and r?</h3>
The number of students in the class is 21.
This represents the value of n
i.e. n = 21
Each student shakes hand with another student (i.e. 2 students per handshake)
This represents the value of r
i.e. r = 2
Hence, the values of n and r are 21 and 2, respectively
Read more about combination at:
brainly.com/question/11732255
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