Answer:
y = 6x - 4
Step-by-step explanation:
(2, 8) & (1, 2)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(2 - 8) / (1 - 2)
Simplify the parentheses.
= (-6) / (-1)
Simplify the fraction.
-6/-1
= 6
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 6x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 6(1) + b
To find b, multiply the slope and the input of x(1)
2 = 6 + b
Now, subtract 6 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 6x - 4
This is your equation.
Check this by plugging in the other point you have not checked yet (2, 8).
y = 6x - 4
8 = 6(2) - 4
8 = 12 - 4
8 = 8
Your equation is correct.
Hope this helps!
If you are trying to figure out how much it will cost:
8 x 4 = 32
Cost of gas = $32
There are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.
<h3>What is an exponential function?</h3>
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x
where a is a constant and a>1
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two equations:
y = –2x – 1 and
From the graph, we can see:
There are two intersection points:
(-1, 1) and (-2, 3)
The x coordinates are -1 and -2
x = -1, y = 1
x = -2, y = 3
Thus, there are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ1
Georgina walk 23 floor
30 - 7 = 23
(6x^3/3x^4)^2 = (2/x)^2 = 4/x^2
