Answer: (4, 3)
Step-by-step explanation:
Answer:
36x² - 9y²
Step-by-step explanation:
We see that the given expression (6x + 3y)(6x - 3y) looks just like the expression (a + b)(a - b). When multiplied out, this is a difference of squares identity that I highly recommend you memorise:
(a + b)(a - b) = a² - b²
Here, a = 6x and b = 3y, so plug these in:
(6x + 3y)(6x - 3y) = (6x)² - (3y)² = 36x² - 9y²
(-2, 0) and (0, -2)
slope = (0+2)/(-2 - 0) = -1
b = -2
slope intercept equation
y = -x - 2
compare equation from given
y - 3 = -(x + 5)
y - 3 = -x - 5
y = -x - 5 + 3
y = -x - 2 (matched slope intercept equation)
answer is A
y - 3 = -(x + 5)
Answer:
Option B.
Step-by-step explanation:
If two lines are parallel then their slopes are always same.
Following this rule we can find the slope by the given pairs of coordinates of the options.
If the slope of the line is same as the slope of y axis then the line passing through these points will be parallel to the y axis.
Slope of y - axis = ∞
Option A). Slope = 
= 
= 
= 775
Therefore, line passing through points (3.2, 8.5) and (3.22, 24) is not parallel to y axis.
Option B). Slope of the line passing through
and
will be
= 
= ∞
Therefore, line passing though these points is parallel to the y axis.
Option C). Slope of the line passing through
and (7.2, 5.4)
= 
= 0
Therefore, slope of this line is not equal to the slope of y axis.
Option B. is the answer.
Answer:
-4
Step-by-step explanation:
Find the gradient of the line segment between the points (0,2) and (-2,10).
Given data
x1= 0
x2= -2
y1= 2
y2=10
The expression for the gradient is given as
M= y2-y1/x2-x1
substitute
M= 10-2/-2-0
M= 8/-2
m= -4
Hence the gradient is -4