The final equation is:

Further explanation:
The general form of equation of a line in slope-intercept form is:

Here m is the slope
Given
m=1
(x,y) = (-7,-4)

To find the value of b, we have to put the point in the equation

The final equation is:

Keywords: Slope-intercept form, equation of line
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Answer:
Step-by-step explanation:
What do you mean?
If the slope of AB = CD and BC = AD it's a parallelogram:
Slope of AB = 6+1 / -9+5 = -7/4
CD = -2-5 / 3+1 = -74
These are equal.
BC = 5-6 / -1 +9 = -1/8
AD = -2 +1 / 3+5 = -1/8
These are also equal so it is a parallelogram.
Now to find if the diagonals are perpendicular find the slope of the perpensicular points:
AC = 5 +1 / -1 +5 = 6/4 = 3/2
BD = 6+2 / -9 -3 = 8/-12 = -2/3
Because BD is the reciprocal of AC, this means they are perpendicular.
And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.
Answer:

Step-by-step explanation:
<u>Key skills: Exponents + Fractions</u>
Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y
3^-4 is the same as 
3^4 is 81, so your answer would be 1/81.
Hope you have a nice day and understood this!
Answer:
1m = 100 cm
First sprinter stride is 120 cm. Steps he will take
= 100/1.2 = 83 1/3 steps
Second sprinter takes a stride of 75 cm
= 100/0.75 = 133 1/3 steps