Answer:
f(x) = 2
Step-by-step explanation:
f(x) represents a linear function since it had the same first differences while the "x" values are evenly space out (which we know could happen only if the function is linear). Now that we determined that the function is linear we have to write the function as an expression.
We know that any linear function has a form of f(x) = mx + b, where "m" is the slope and "b" is the y intercept (y value when x is equal to 0).
As I already mentioned the b will be equal tp the "y" intersect which is equal to the "y" value when x is equal to zero. Luckily in our table they did tell us what will be the "y" value when x is equal to zero, and it is 2. So now we know b = 2.
Then we have have to find the slope which can be found by using the following formula.....
Now we have to choose two different points from table and let the one that has bigger x value be represented as 
and the other one will be represented as 
. In our case I choose the points (2,2) and (1,2). Now if we represent them as what I mentioned earlier we can substitute their values into the equation that we ca use to find the slope. You should obtain the following.....
Now that we know both the "m" and "b" values we can substitute them into the equation, and we will get he following....
f(x) = mx + b
f(x) = 0x + 2
f(x) = 2
Option B: 8x+1 has the steepest slope
Step-by-step explanation:
Slope is defined as the rate of change of a line
The steepness of a slope means how close it is to being vertical
The greater value of slope means, more steepness. The value of slope can wither b positive or negative
We have to compare the slopes of all given options to find the steepest slope
As the options are in slope-intercept form, the coefficients of x will be the slope
So,
a. Slope = -4
b. Slope = 8
c. Slope = 2/3 = 0.66
d . Slope = 1/7 = 0.14
We can see that the largest value of slope in negative and positive is 8
So,
Option B: 8x+1 has the steepest slope
Keywords: Slope, steepness
Learn more about slopes at:
#LearnwithBrainly
Answer: (2,4)
Explanation: I hope this is what the question is asking for because I am in 9th grade hope this helps and I hope I am right
Answer:
The equation is y = (2/3)x + (4/3).
Step-by-step explanation:
First, you have to change the equation into slope-intecept formula to find its gradient (slope) :
Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :
Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :
To solve problem 19, we must remember the order of operations. PEMDAS tells us that we should simplify numbers in parentheses first, exponents next, multiplication and division after that, and finally addition and subtraction. Using this knowledge, we can begin to simplify the problem by working out the innermost set of parentheses:
36 / [10 - (3-1)²]
36 / [10 - (2)²]
Next, we should still simplify what is inside the parentheses but continue to solve the exponents (the next letter in PEMDAS).
36/ (10-4)
After that, we should compute the subtraction that is inside the parentheses.
36/6
Finally, we can solve using division.
6
Now, we can move onto problem 20:
1/4(16d - 24)
To solve this problem, we need to use the distributive property, which allows us to distribute the coefficient of 1/4 through the parentheses by multiplying each term by 1/4.
1/4 (16d-24)
1/4(16d) - 1/4(24)
Next, we can simplify further by using multiplication.
4d - 6
Therefore, your answer to problem 19 is 6 and the answer to problem 20 is 4d -6.
Hope this helps!
