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angelthompson2018
31.10.2020 •
Mathematics
Find an equation for the line below
please i need this asap i can’t get it right
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Ответ:
rise/run = slope
slope = 2/4 = 1/2
y = 1/2x +b
now, choose a point on the line and substitute y for the y coordinate and x for the x coordinate > i will use (1, -1)
-1 = 1/2(1) + b
-1 = 1/2 +b
subtract 1/2 from both sides
-3/2 = b
y = 1/2x - 3/2
Ответ:
y = 1/2x - 3/2
General Formulas and Concepts:
Order of Operations: BPEMDAS
Slope Formula:![m=\frac{y_2-y_1}{x_2-x_1}](/tpl/images/0858/3660/ab87e.png)
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step-by-step explanation:
Step 1: Define coordinates:
(-3, -3)
(1, -1)
Step 2: Find slope m
Step 3: Find y-intercept b
Define: y = 1/2x + bSubstitute: -1 = 1/2(1) + bMultiply: -1 = 1/2 + bSubtract 1/2 on both sides: -3/2 = bStep 4: Write linear equation:
Plug in the newly found b into the equation.
y = 1/2x - 3/2
Ответ:
15
Step-by-step explanation:
Let the number of adult tickets be x while children ticket be y. Since the total tickets were 20 then we can form the equation
x+y=20
Making x the subject then x=20-y
Considering the cost of each ticket
15x+10y=225
Substituting x with 20-y then
15(20-y)+10y=225
300-15y+10y=225
Collecting like terms
300-225=15y-10y
75=5y
Y=75/5=15
To find x, we already know that x=20-y hence x=20-15=5
Therefore, children tickets are 15 while adult tickets are 5.
The question only needs us to know the children tickets, y which is 15