Question

(Please show all work) 1). Solve x- y/7=2 for y

2). If the first term of a sequence is 8 and the tenth term is 53, what is the
common difference?

3). Write the equation of a line that passes through
( 6,4) and is parallel to y=1/2x+8

Answer 1

1. You can solve this problem like you would any other equation:

x-(y/7)=2

*Subtract x from both sides*

-y/7=2-x

*Multiply both sides by 7*

-y=14-7x

*Divide both sides by -1*

y=7x-14

2. This is the same as finding the slope. The equation for slope is (y2-y1)/(x1-x2).

(53-8)/(10-1)

45/9

5

3. The general formula for a linear equation is y=mx+b, where m is the slope and b is the y-intercept. The slope will remain the same because the lines are parallel. To solve for b, plug in the given coordinates:

4=0.5(6)+b

4=3+b

*Subtract 3 from both sides*

1=b

The equation is y=1/2+1

Hope this helps!!