is this a question or do you want us to draw sketch an actual line
Answer:
your answer is H
Step-by-step explanation:
A ratio of 5:7 means out of 12 books, 5 are in one category and 7 are in another. (The “category” isn’t specified in this problem.)
So here we’re STARTING with 36 books; we want to find a ratio that is equal to 5:7 and adds up to 36. Well 36 = 3(12), and so if we multiply each number in the ratio by 3 as well, we might get what we want. Doing that gives us 15:21, which adds up to 36 and is equal to 5:7. Boom, that’s the answer.
P.S. Here’s a question you can think about: why do ratios stay the same when you multiply each number by the same amount? (For example, why is 3:1 the same as 6:2?)
Answer:
y = -3x + 7.
Step-by-step explanation:
First find the slope of the given line by converting to intercept form:
3x + y + 2 = 0
y = -3x - 2
So the slope is -3.
Then the line we want has a slope of -3 also (as it is parallel).
y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line:
m = -3, x1 = 1 and y1 = 4, so we have:
y - 4 = -3(x - 1)
y = -3x + 3 + 4
y = -3x + 7.
The picture is kind of blurry and I can’t make out the formulas. /: