Answer:
18
Step-by-step explanation:
-74 --92 =
-74 + 92 =18
-56 --74
-56 + 74 = 18
-38 --56
-38+56 = 18
we are adding 18 each time
The common difference is 18
To find the x and y-intercept, we can write an equation in slope intercept form.
first, we need to find the slope
the formula for slope is
m= (y₂-y₁)/(x₂-x₁)
now just put any two points into the equation
m=(10-5)/(-9-(-15)
m=5/6
so now we can write the slope-intercept equation
y=5/6x + b
in a slope-intercept equation, b is equal to the y-intercept, so we can take one of our 3 pairs of points and put them into the equation to solve for b
15= 5/6(-3) +b
15=-2.5 + b
17.5 = b
so now we know the y-intercept is (0,17.5)
now we can write the equation as
y= 5/6x + 17.5
since the x intercept is when y=0, we can set y to 0 and then solve for x
0= 5/6x +17.5
-17.5 = 5/6x
-21 = x
by setting y to zero, we figured out that the x-intercept is (-21,0)
hope this helped!
I need to see the solution
