What is the equation of a line parallel to Y=-3x+5 that passes through point (6,8)?
1 answer:
9514 1404 393
Answer:
y = -3x +26
Step-by-step explanation:
We assume the given line is ...
y = -3x +5
This is in slope-intercept form:
y = mx +b
where m = -3 and b = 5.
The parameter m represents the slope of the line. A parallel line will have the same slope, so will be of the form ...
y = -3x +b
We can find the value of b using the given point:
8 = -3(6) +b
26 = b . . . . . . add 18
So, the equation of the parallel line through (6, 8) is ...
y = -3x +26
You might be interested in
<u>Given</u>:
The height of the bird at time t is given by the function
We need to determine the time it takes the worm to be eaten by the bird.
<u>Time taken:</u>
The time can be determined by substituting h(t) = 0 in the function.
Thus, we have;
Switch sides, we get;
Let us solve the equation using the quadratic formula.
Thus, we get;
Simplifying, we get;
The values of t are given by
and
and
and
Since, the value of t cannot be negative, then
Thus, the time taken by the bird to eat the worm is seconds.
Hence, Option B is the correct answer.
Answer:
- No
- Yes
- Yes
Step-by-step explanation:
The first one is incorrect because would be 4,836,000 instead of 4,836,000,000. The correct notion would be