Answer:
y = 3/2*x - 5
Step-by-step explanation:
Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:
P1=(x1,y1) and P2=(x2,y2)
slope formula ---> m=(y2-y1)/(x2-x1)
Replacing the given points ---> m=(1-4)/(4-6) = 3/2
then replacing the slope value obtained:
y = 3/2*x + b
Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:
1 = 3/2*4 + b
1 = 6 + b
1 - 6 = b
-5 = b
therefore the line equation is:
y = 3/2*x - 5
The ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]
<h3>System of equations</h3>
Given the following system of equations expressed as:
f(x) = x² - 2x + 3 and f(x) = -2x + 12
Since they are both function of x, hence;
x² - 2x + 3 = -2x + 12
x² - 2x + 3 + 2x - 12 = 0
x² - 9 = 0
x² = 9
x = ±√9
x = ±3
If x = 3
f(x) = -2(3) + 12
f(x) = 6
If x = -3
f(x) = -2(-3) + 12
f(x) =18
Hence the ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]
Learn more on system of equation here: brainly.com/question/14323743
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Because a ║b you can say:
-60 -2x = -70 -4x ⇒ -2x + 4x = -70 + 60 ⇒ 2x = -10 ⇒ x = -5 :)))
i hope this is helpful
have a nice day
Answer:
x-intercept: (2,0)
y-intercept: (0,4)
Step-by-step explanation:
x-intercept: when y = 0
y = -2x + 4
0 = -2x + 4
x = 2
y-intercept: when x = 0
y = -2x + 4
y = -2(0) + 4
y = 4
Answer for question 1 is Percentage Calculator: 6 is what percent of 15? = 40.
Answer for question 2 is What is 18 percent (calculated percentage %) of number 32? Answer: 5.76.
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