#1
what is the distance between the points (4, 7) and (4, –5)?
a.
2 units
b.
12 units
c.
0 units
d.
4 units
#2 what is the distance between the points (–3, 5) and (2, –6)? round your answer to the nearest tenth.
a.
1.4 units
b.
5.1 units
c.
12.1 units
d.
16.0 units
(questions: 3,4 and 5 is the pictures.)

#1   B. 12 Units

#2  

Step-by-step explanation:

For number one it is just adding 5 and 7 together because they both have the same X axis, for number two we have to use the distance formula like this:

                                       d= (x2 - x1)^2 + (y2 - y1)^2

d= (-3 - 2)^2 + (5 - -6)^2

d= (-5)^2 + (-11)^2

d= 25 + 121

d= 146 =  1.46

For 3 through 5 it is the same thing as number 2

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

a is the right answer