Answer: Right 5, Vertical stretch by 2, up 3
Step-by-step explanation:
You need to do the step in the parenthesis first, that step is to the right 5. You should remember that it is backwards of what you would think, a minus is to the right and a plus is to the left. The next is the multiplication which is by 2. It is a vertical stretch by two because the slope will increase there. The last step is up three.
Good start on the last homework page :)
Answer:
parallel y=7x+26
perpendicular y=1/7x+32/7
Step-by-step explanation:
parallel line have the same slope
y-5=7(x-(-3))
y-5=7(x+3)
y-5=7x+21
y=7x+21+5
y=7x+26
perpendicular slope is the opposite of the original slope of 7
y-5=-1/7(x-(-3))
y-5=-1/7(x+3)
y-5=-1/7x-3/7
y=-1/7x-3/7+5
y=-1/7x+32/7
Basically, you have to find the line through (-3, 1) that is perpendicular to the line 6x + y = 9 and then find where the two lines intersect. Dropping a perpendicular from the point to the line is the shortest distance from the point to the line.
6x + y = 9
y = -6x + 9
slope is -6
perpendicular would have slope 1/6
(y - 1) = (1/6) (x + 3)
y - 1 = (1/6) x + (1/2)
multiplying both sides by 6
6y - 6 = x + 3
x - 6y = -9
Where do these two lines intersect?
From above we know given equation is y = -6x + 9
Plugging into other equation
x - 6(-6x + 9) = -9
x + 36x - 54 = -9
37 x = 45
x = 45/37
y = -6(45/37) + 9
y = -270/37 + (333/37)
y = 63/37
point is (45/37, 63/37)