Answer:
y = 7/5 x + 31
Step-by-step explanation:
To find the slope, we need to use the formula
m = (y2-y1)/(x2-x1)
m =(-4-17)/(5- -10)
= -21/(5+10)
= 21/15
Divide the top and bottom by 3.
= 7/5
The slope is 7/5.
Using the point slope form of the equation,
y-y1 = m(x-x1)
y-17 = 7/5 (x--10)
y-17 = 7/5(x+10)
Distribute the 7/5 ths.
y-17 = 7/5 x + 7/5*10
y-17 = 7/5 x +14
Add 17 to each side
y = 7/5 x + 14 + 17
y = 7/5 x + 31
This is in slope intercept form, with the slope being 7/5 and the y intercept of 31
Answer:
Possibly meters or feet/yards.
A walk through a neighborhood would be less than a mile/kilometer but much further than an inch/centimeter.
Answer:
77°, 103°
Step-by-step explanation:
x=103°
- z=x=103°
- y=180°-x=180°-103°=77°
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∠5= 42°
∠3= 180°-42°=138°
Answer:
a). y = 0.25x + 15
b). x = 480 cups
Step-by-step explanation:
(a). Let the equation of the linear function passing through a point (x', y') is,
y - y' = m(x - x')
'm' = slope of the line
b = y-intercept
Two points lying on the linear function will be (200, 65) and (250, 77.5).
Slope of the line 'm' = 
m = 
= 
= 0.25
Therefore, equation of the line passing through (200, 65) and slope 0.25 will be,
y - 65 = 0.25(x - 200)
y - 65 = 0.25x - 50
y = 0.25x + 15
(b). For y = $135 we have to calculate the number of cups of coffee produced.
135 = 0.25x + 15
0.25x = 135 - 15
0.25x = 120
x = 480 cups
Therefore, 480 cups of coffee will be produced.