The table shows the first 4 terms of the patterns. Which statement best describes the relationship between the corresponding terms in Pattern A and Pattern B?

A. Terms in Pattern A are 2 greater than the corresponding terms in Pattern B.

B. Terms in Pattern B are 1 greater than the corresponding terms in Pattern A.

C. Terms in Pattern A are 2 times the corresponding terms in Pattern B.

D. Terms in Pattern B are 1 less than the corresponding terms in Pattern A.
Term Pattern A Pattern B
1 0 1
2 2 3
3 4 5
4 6 7

step-by-step explanation:

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9