The slope of the line can be defined as y = mx + b, where m is the slope
To find the slope, one will need to use the expression Δy/Δx (y final - y initial)/(x final - x initial)
For this problem, that equals 1/3
Now we will use the point slope form
(y - y initial) = m (x - x initial):
y + 1 = 1/3 (x - 2)
y = 1/3x - 5/3
S(10) = a + (n-1)d
34 = a + 9d ---- Eqn 1
Sum(20) = n/2(2a +(n-1)d)
710 = 20/2(2a + 19d) ----- Eqn 2
Solve these two equations and find the value of a and d and put the values in the first eqn (a + (n-1)d) to find the 25th term
*n = the term
*a = the starting number
*d = the difference in the series for each number
For this problem you can do it a couple of ways. the way that i chose to do it was by moving everything to get y alone, but you can also find the x and y intercepts by plugging in 0 for the other variable (what i mean by this: x+5y=10; plug in 0 for x and your y intercept is 2). then you graph each equation and the solution to the system (if you also need that) would be (-4,3) since this is where the lines intersect.
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Reflection across the x-axis: y = − f ( x ) y = -f(x) y=−f(x) The concept behind the reflections about the x-axis is basically the same as the reflections about the y-axis. The only difference is that, rather than the y-axis, the points are reflected from above the x-axis to below the x-axis, and vice versa.