Hey there! :)
To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.
Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept
Since we're already given the slope, all we really need to do is find the y-intercept.
We can do this by plugging our known values into the slope-intercept equation.
y = mx + b
Since we're trying to find "b," we need to plug in "y, m, x" into our formula.
(1) = (2)(5) + b
Simplify.
1 = 10 + b
Subtract 10 from both sides.
1 - 10 = b
Simplify.
-9 = b
So, our y-intercept is 9!
Now, we can very simply plug our known values into slope-intercept form.
y = mx + b
y = 2x - 9 → final answer
~Hope I helped!~
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Answer:
Step-by-step explanation:
In this question, you are solving for n.
Solve:
−2p + 6n = 5
We have to get "n" by itself, so add 2p to both sides.
6n = 2p + 5
Since the variable "n" has a number next to it, we have to get rid of that number in order to get our answer.
To do so, we would divide both sides by 6.
Simplify the equation further.
<u><em>Answer:</em></u>
He read 1/3 of the book on the second day
He didn't finish the book in two days.
<u><em>Step-by-step explanation:</em></u>
Lets find 3/5 of 5/9
If we said, find 3/5 of x, the answer would be 3/5x.
3/5*x = 3/5x
In the same way, 
He read 1/3 of the book on the second day
Does 5/9 + 1/3 equal to 1?
1/3 = 3/9
5/9 + 3/9 = 8/9
He didn't finish the book in two days.
Hope this helps :)
Have a nice day!
Answer:
(3, 2) is the ordered pair for the given system of equations.
Step-by-step explanation:
Given:
2 x+ y = 8.......................(i)
y = - x + 5........................(ii)
<u>Put y = - x + 5 in equation (i)-</u>
<em>2 x + ( - x+ 5) = 8</em>
<em>2 x - x + 5 = 8</em>
<em>x = 8 - 5</em>
<em>x = 3</em>
<u>Now put x = 3 in equation (ii)-</u>
<em>y = - 3 + 5</em>
<em>y = 2</em>
Hence the (3, 2) is the correct ordered pair.
