Answer:
y = -4x - 7
Step-by-step explanation:
y = mx + b
parallel lines have the same slope m, which in this case is -4
y = -4x + b
now plug in the desired included point to find the y intercept
1 = -4(-2) + b
1 = 8 + b
b = -7
Answer:
No
Step-by-step explanation:
If you’re wanting the yes or no answer, keep reading.
If you’re wanting a number for y and x, we can’t give that to you. It’s infinite!
Since both y and x = 0, the equation would be set up as 0 = 0-3. You can see the equation is false, so it would be a no.
Taking into account the definition of y-intercept, the y-intercept of function g is (0,3) (option C).
<h3>What is y-intercept</h3>
To find the y-intercept of a function, simply replace x with 0; and then solve the equation.
That is, to find the intersection point with the ordinate axis, f(0) is calculated by making x = 0.
<h3>
The y-intercept of g(x) = 2f(x)+1</h3>
In this case, you know that:
f(x) = eˣ
g(x) = 2f(x)+1
Then, substituting the expression of the function f(x) in the function g(x), you obtain g(x)=2×eˣ + 1
The y-intercept of function g is g(0). So, g(0)=2×e⁰ + 1
Solving:
g(0)=2×1 + 1
g(0)= 2+1
<u><em>g(0)= 3</em></u>
Finally, the y-intercept of function g is (0,3) (option C).
Learn more about y-intercept:
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X = 8
Y = 2 Your welcomeeeeee
Answer:
Infinite Solutions
Step-by-step explanation:
Get rid of the denominators by multiplying all whole equation by 4.
The interesting part is here. Both sides are same, meaning that if we continue to solve for the equation.
The equation is indeed true. Meaning that both graphs are the same and intercept both each others infinitely.
Therefore the answer is Infinite solution.
