Write the equation of a line that passes through the points (-2, 3) and (-4, 4) in slope intercept form (y=mx+b).
1 answer:
Step-by-step explanation:
first step is to find the gradient of the line which "m" on the equation
gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given
2nd step is to substitute on the equation y=mx+c
m= -½
y= 3 (you can choose any from those given points but in my case I chose point A)
x= -2
c= ? only unknown variable so we can can calculate it
substitute as shown on the picture to get c= 2
therefore our equation of the line will be y= -½x+2
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Answer:
Option A is correct.
Step-by-step explanation:
The following matrix represent the augmented matrix
In augmented matrix the left side represent the co-efficient of the variables and right side represent the value of variables.
Since the matrix has been solved and reduced so, the solution of variables x, y and z is written on right side of augmented matrix
The given matrix is:
Since the last row is all zero and we have a non zero entry for the solution, the matrix is inconsistent.
As the variables have zero values, there cannot be any solution
So, there is no solution.
So, Option A is correct.