Answer:
second option: (4, 4) is the solution to both lines A and B.
Step-by-step explanation:
You know that the equation of line A is:
and the equation of line B is:
The point in which the line A intersects with the line B is the solution of the sytstem of equations.
You can observe in given graph that the point of intersection of Line A and Line B is: (4,4)
Therefore (4, 4) is the solution to both lines A and B.
The first answer of part A is 32
So 4y means you have to multiply 4 by y, which is 20 since 4x5=20
And then you add 12, which is 32.
The second answer to part A is 40
With the second question of part a, the expression is basically saying 4 times whatever 5+3 is. So 5+3= 8, and 4(8) is 40
For part B, they are equivalent because let’s pretend y=2. 12+4y= 20. And then 4(y+3) would equal 20 because 4(2)=8 and 4(3)=12 and 8+12=20. This might not be the answer that your teacher is looking for, but it’s still a right answer so technically they can’t say it’s wrong unless you have a super unfair teacher
Answer:
The equation of line is:
Step-by-step explanation:
We are given that a graph is a that passes through two points:
and 
We know that the equation of line passing through two points:
and 
is given by:
Here we have:
and 
Hence, the equation of line is:
Hence the equation of line is:
Answer:
x=2.5
Step-by-step explanation:
5x<12 1. /5 on both sides
x= 2.5
Find the gradient:
m = y2-y1 / x2-x1
m = 6-(-4) / 0-1
m = 10 / -1
m = -10
Slope intercept form:
y = mx + c
Input the values from one of the points to find c (imputing (1,-4) to y=mx+c):
-4 = -10(1) + c
-4 = -10 + c
c = -4 + 10
c = 6
Therefore, the equation is:
y = -10x + 6
