Hey what is 6/5 ÷ 10/7 in the simplest form possible
2 answers:
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Answer:
y < 0.25x + 4
Step-by-step explanation:
The dotted line indicates that the inequality is either a greater than(>) or less than(<). This is because the answer does include the set of points along the line.
We are looking to find an inequality such that any point below that is considered a solution. Thus, after finding the line's equation in slope-intercept form, we can replace the = with <.
Solving for the line:
Take any 2 points and determine the slope. I used (-8,2) and (0,4). The slope using results in
or 0.25. As we can see visually from the graph, the y-intercept is (0,4). Thus, the equation of the line is y = 0.25x + 4.
Now all we do is replace the = with the < and we have our answer:
y < 0.25x + 4
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0)
- Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)
<u>1) Determine the slope (m)</u>
y=x-9
Rewrite the equation
y=1x-9
Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into :
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<u>2) Determine the y-intercept (b)</u>
Plug in the given point (7,9) and solve for b
Add 7 to both sides to isolate b
Therefore, the y-intercept is 16. Plug this back into :
I hope this helps!