$y+7=\frac{1}{2}(x+2)\ \ \ \ |multiply\ both\ sides\ by\ 2\\\\2y+14=x+2\ \ \ \ |subtract\ x\ and\ 2\ from\ both\ sides\\\\-x+2y+14-2=0\\\\-x+2y+12=0\ \ \ \ \ |change\ signs\\\\\boxed{x-2y-12=0}$

4 0

3 years ago

Compute and simplify 4 /9 + 13/18 show work

Darya [45]

Answer:

$1\frac{1}{6}$

Step-by-step explanation:

so first find the common denominator which is 162

so on 4/9 multiply 18 to denominater and numerator which makes it 72/162

next multiply 9 to numerator and denominator in 13/18 which makes it 117/162

so now add:

$\frac{72}{162} +\frac{117}{162} = \frac{189}{162}$

so now simplification.

189/162 can be reduced by 3

63/54 is our new answer. now we can reduce it by 9

7/6 is our new answer. now we must change it to a mixed number which is $1\frac{1}{6}$

hope this helped!

6 0

4 years ago

Write an equation parallel to the line y=3/2x-2 that goes through (5,1) in point slope form.

s344n2d4d5 [400]

Answer: y=3/2x-13/2

Step-by-step explanation:

concept to know: two parallel lines have the same slope

y=3/2x+b

in order to find b or the y-intercept, we plug the point in

y=3/2x+b

1=3/2(5)+b

1=15/2+b

b=-13/2

----------------------------

y=3/2x-13/2

Hope this helps!! :)

4 0

3 years ago