9514 1404 393
Answer:
y = 1/2x + 1
Step-by-step explanation:
The slope of the line is "rise"/"run", where "rise" is the vertical distance between two points separated by a horizontal distance of "run".
Here, two points are marked that are 4 units apart horizontally (run = 4). The right-most point is 2 units above the left-most point (rise = 2). The slope between these points is ...
m = rise/run = 2/4 = 1/2
The line crosses the y-axis at y=1, so the "y-intercept" is b=1.
These values can be put into the "slope-intercept form" equation for a line.
y = mx + b . . . . . . line with slope m and y-intercept b
y = 1/2x + 1 . . . . . matches the required answer form
Answer:
(6,13)
Step-by-step explanation:
use midpoint formula
(-9 + 21) ÷2 , (5+21) ÷2
12 ÷2 , 26 ÷ 2
6, 13
so the midpoint is at coordinates (6,13)
Given to points to us are :-
( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-
Here ,
- x1 = 3 .
- x2 = -1.
- y1 = (-6)
- y2 = (-8).
<u>→ Substituting the respective values , </u>
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
<u>Hence the distance between two points is 4√5u.</u>
Answer:
decimal form: 6.83333333333 or 6.83
fraction form: 6 1/5
I assume that you meant RS and ST are segments of RT. If that is true then:
RS+ST=RT, using the values for these given...
8y+4+4y+8=36 combine like terms on left side
12y+12=36 subtract 12 from both sides
12y=24 divide both sides by 12
y=2