Answer:To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.
Answer:
77
Step-by-step explanation:
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There are 4 seats in total.
There are 4 ways to fill 1st seat.
When 1st seat is filled, there will be 3 ways to fill the second seat.
Similarly there will be 2 ways to fill the third seat and 1 way to fill the last seat.
So, total number of ways the seats can be filled = 4 x 3 x 2 x 1 = 24 ways.
Therefore, the correct answer is option A
Answer: D
Explanation:
The equation of a line in the point slope form is expressed as
y - y1 = m(x - x1)
where
m represents slope
x1 and y1 represents coordinates of the point that the line passes.
From the information given, the equation of the path of the old route is
y = 2x/5 - 4
Recall, the equation of a line in the slope intercept form is expressed as
y = mx + c
By comparing both equations,
slope, m = 2/5
If two lines are parallel, it means that they have the same slope. Given that the new route is to be parallel to the old route and will go through point (Q, P), then
m = 2/5
x1 = Q
y1 = P
The equation of the new route be
y - P = 2/5(x - Q)
Answer: y=16
Step-by-step explanation:
1. Remove parentheses
6y−6−4y=26
2. Simplify
2y−6=26
3. Add 6 to both sides
2y=26+6
4. Simplify
2y=32
5. Divide both sides by two
y=
6. Simplify
y=16
Hope this helps, have a BLESSED and wonderful day! :-)