Answer:
Step-by-step explanation:
A line in 2-dimensional space has the following general equation:
Where m is the slope of the line, and b just a number
the slope can be obtaine using th following formula:
The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)
Resulting that 
To find the other term we can use any other point, I prefer us the first one so...
We have the following equation:
Resulting that b=18
I just have to eval the point (-10,-7) in the equation stated at the beginning knowin that m was calculated previously.
Answer:
(c) The x and y coordinates are switched
Step-by-step explanation:
Given
See attachment
Required
Determine the error in the plot
The plot on the attached graph is represented with: 
This implies that Raj plotted the x coordinate on the y coordinate and vice versa.
Hence: (c) is true
Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = 13 → (1)
x + 2y = - 4 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = - 4 - 2y → (3)
Substitute x = - 4 - 2y into (1)
2(- 4 - 2y) - 3y = 13 ← distribute and simplify left side
- 8 - 4y - 3y = 13
- 8 - 7y = 13 ( add 8 to both sides )
- 7y = 21 ( divide both sides by - 7 )
y = - 3
Substitute y = - 3 into (3) for corresponding value of x
x = - 4 - 2(- 3) = - 4 + 6 = 2
Solution is (2, - 3 )
Answer:
y = 4/5x-18/5
Step-by-step explanation:
First we find the slope from the given points (-3,-6) (2,-2)
m = (y2-y1)/(x2-x1)
m = (-2 - -6)/(2 - -3)
(-2+6)/( 2+3)
4/5
The slope intercept form of an equation is
y = mx +b where m is the slope and b is the y intercept
y = 4/5 x +b
Substitute a point into the equation to find b
-6= 4/5(-3) +b
-6= -12/5 +b
Add 12/5 to each side
-6 +12/5 = -12/5 +12/5 +b
Get a common denominator
-30/5 + 12/5 = b
-18/5 =b
The equation is
y = 4/5x-18/5
Answer:
x 
Step-by-step explanation:
x
