Answer:
y = -4x + 5
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general form is;
y = mx + b
where m is the slope and b is the y intercept
To find the slope, we use the slope formula
this is ;
m = (y2-y1)/(x2-x1)
(x1,y1) = (0,5)
(x2,y2) = (2,-3)
m = (-3-5)/(2-0) = -8/2 = -4
To get the y-intercept we simply substitute one of the points
But we know that the y-intercept is the y-value when x = 0
From the point we can see (0,5) which means that the y-intercept is 5
so the equation of the line is;
y = -4x + 5
Answer:
Step-by-step explanation:
Answer:
Option B
Step-by-step explanation:
To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,
y = 8x
If we insert x = 0 we get,
y = 8(0)
y=0
but in the table it says we get 14 so option A is incorrect
Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,
and so on so Option B is the answer
Answer:
x ≤ – 3 or x ≥ 9.
Step-by-step explanation:
Given : 9x ≤ –27 or 4x ≥ 36.
To find : Solve the compound inequality.
Solution : We have given 9x ≤ –27 or 4x ≥ 36.
For 9x ≤ –27 .
On dividing both sides by 9.
x ≤ – 3.
For , 4x ≥ 36.
On dividing both sides by 4.
x ≥ 9.
We can write x ≤ – 3 or x ≥ 9.
Therefore, x ≤ – 3 or x ≥ 9.
