1. use the equation y -y1 = m(x-x1)
2. (-6,-4) is x1,y1 and (4,-6) is x2,y2
3. y-(-4) = m(x-(-6)
m is the gradient, 10/10, which is 1. make two negatives into a positive.
4. y+4 = x+6
therefore the equation of the lines is y = x+2
substitute the points back into the equation to double check.
Answer:
1 meter of rise over 3 meters distance
Step-by-step explanation:
Slope is the rise / run ratio
1/3 slope means 1 meter of rise over 3 meters long section (or other unit of length)
In order to solve for a nth term in an arithmetic sequence, we use the formula written as:
an = a1 + (n-1)d
where an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given values above.
<span>a1 = 38 and a17 = -74
</span>
an = a1 + (n-1)d
-74 = 38 + (17-1)d
d = -7
The 27th term is calculated as follows:
a27 = a1 + (n-1)d
a27= 38 + (27-1)(-7)
a27 = -144 -----------> OPTION D
Answer is 1/36...
probability of rolling a 3 is 1/6 so if you do it twice it will be 1/6×1/6=1/36
Parallel lines are the lines that are always the same distance and never touch.
