We rewrite the statement correctly:
"A linear function has an y-intercept of 12 and a slope of 3/8"
Therefore, the linear function is:
y = (3/8) x + 12
We look for the linear function of the table:
y-yo = m (x-xo)
Where,
m = (y2-y1) / (x2-x1)
m = ((- 3/8) - (- 3/4)) / ((1/3) - (- 2/3))
m = ((- 3/8) - (- 6/8)) / (3/3)
m = ((- 3 + 6) / 8) / (1)
m = 3/8
(xo, yo) = (- 2/3, -3/4)
Substituting:
y + 3/4 = (3/8) (x + 2/3)
y = (3/8) x + 2/8 - 3/4
y = (3/8) x + 1/4 - 3/4
y = (3/8) x + -2/4
y = (3/8) x + -1/2
The lines are:
y = (3/8) x + 12
y = (3/8) x + -1/2
Answer:
It has the same slope and a different y-intercept
0.2 pounds amount of candy/number of students
Answer:
- ΔABE ~ ΔACD, x = 2
- ΔABE ~ ΔADC, x = 17
Step-by-step explanation:
<u>ΔABE ~ ΔACD</u>
AC/AB = AD/AE
(10+x)/10 = (15+3)/15
1 +x/10 = 1 +0.2 . . . expand each ratio
x = 10(0.2) . . . . . . . subtract 1 and multiply by 10
x = 2
__
<u>ΔABE ~ ΔADC</u>
AC/AE = AD/AB
(10+x)/15 = (15+3)/10
10 +x = 27 . . . . . . . . multiply by 15
x = 17 . . . . . . . . . . . . subtract 10
_____
<em>Additional comment</em>
The triangles can be declared similar in 6 ways, but it does no good to match a marked side with an unmarked side. Hence, only two of the possible similarity statements will result in a solution for x.
