The solution to this would be x=2, y=-2
Answer:
The general equation following the pattern becomes is 7 + (n - 1)×2
Where, n = The figure number - 1
Step-by-step explanation:
The pattern in the question can be described as follows;
Figure 2 = (5 + 2) squares boxes = 7 squares boxes
Figure 3 = (5 + 2 + 2) squares boxes
Figure 4 = (5 + 2 + 2 + 2) squares boxes
Therefore, the number of squares boxes per figure, form an arithmetic progression (a + (n - 1)d) with the first term a = 7, the common difference d = 2, and the n = the nth term of the series, such that the general equation following the pattern becomes;
7 + (n - 1)×2.
7/8+(−2/3) divided by 5/6
(7/8 - 2/3)/(5/6)
=(21/24 - 16/24) / (5/6)
= (5/24) / (5/6)
= 5/24 * 6/5
= 6/24
= 1/4
Y=4
3y/4=12/3
y=4 3/3=1
12/3=4 so y=4
Answer: See below
Step-by-step explanation:
For the first one, we are already given our slope. All we need to do is find the y-intercept, b.
y=-2x+b
6=-2(-3)+b
6=6+b
b=0
The slope-intercept form is y=-2x.
For the second one, we need to first find the slope using
.

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.



The slope-intercept form is
.
For the third one, we are already given the slope, so all we have to do is find b.




The slope-intercept form is
.
For the last one, we need to first find the slope using
.

Now that we have our slope, we can plug it into our slope-intercept form and find b.




Our slope-intercept form is
.