Answer:
y=-x+9
Step-by-step explanation:
The answer above is written in slope-intercept form because it is the easiest form to graph (in my opinion); slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. However, to get the answer, you must first use slope-point. Slope-point is . So, plug in the point and slope into the formula. This gives the equation, y-6=-1(x-3). Then, solve the equation for the answer of y=-x+9.
On a graph, the y-intercept will be 9. So, the line will cross the y-axis at a value of 9. Additionally, the slope is -1. So, y will increase by one and x will decrease by one. This means that the line will look like it decrease left to right.
Answer:
Step-by-step explanation:
You have the equation .
Then, to solve for the variable from the equation you need:
Make the subtraction of the right side of the equation:
(As the denominators are 1 and , the least common denominator is
)
Multiply to both sides:
Add to both sides:
And finally divide both sides by :
Answer: The y- intercept is -2. The x-intercept is 2/3
The attachment shows the solutions.
Step-by-step explanation: The y-intercept is the "b" term in the slope-intercept form of the equation. To find the x-intercept, substitute 0 for the output and solve for x.
0 = 3x -2 . Add 2 to both sides
2 = 3x . Divide both sides by 3
2/3 = x the x-intercept is 2/3
To find f(-5) substitute -5 for x and solve.
f(-5) = 3(-5) -2
f(-5) = -15 -2
f(-5) = -17
Answer:
Step-by-step explanation:
We are given the following in the question:
Number of locusts on first day = 4600
Gain in locust population every 2.4 days =
Thus, we can write the following function to model locust population in t days.
is the required function.
L(t) is a dependent function on t, L(t) is locusts population and t is amount of time in days.