Step-by-step explanation:
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Here the change in x is +5 and that in y is +10 (from y= -96 to y= -86). Thus, the slope, (change in y) / (change in x) is m = 10/5, or m = 2.
Answer:
y = 7x
y = 2x -3
y = 3
x = -2
Step-by-step explanation:
- <em>Slope-intercept form: y= mx+b</em>
- <em>Parallel lines have same slope</em>
a)Parallel to y=7x+2 through the point (0,0)
<u>
This line will have a form:</u>
<u>Considering the given point of (0,0), to find the value of b:</u>
<u>The line is: </u>
b)Slope of 2 through the point (0,−3)
<u>
Solving as above:</u>
- y= 2x + b
- -3 = 2*0 + b ⇒ b = -3
- y = 2x -3
c)A horizontal line through the point (0,3)
<u>
A horizontal line will have constant value for y for any value of x:</u>
d)A vertical line through the point (−2,0)
<u>A vertical line will have constant value of x for any value of y:</u>
If we let x and y represent the prices of adult and child tickets, respectively, then we can write two equations based on the daily sales.
8x +5y = 108
x +14y = 67
A graphing calculator shows the solution of these equations to be
(x, y) = (11, 4)
The price of an adult ticket is $11.
The price of a child ticket is $4.