Find the number of pairs (a,b) of integers such that a+2/a+5=b/3
1 answer:
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Answer:
y=2x-3
Step-by-step explanation:
Hi there!
We are given the points (0, –3) and (4, 5)
We want to find the equation of the line between these points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula , where
and
are points
We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.
m=
m=
Simplify
m=
m=
Divide
m=2
We found the slope of the line.
Here is the equation of the line so far:
y=2x+b
Now let's find b
As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0
One of the points we were given (0, -3) is actually the y intercept of the line!
The value of b is the value of y at the y intercept; in this case, b is equal to -3
Now substitute -3 as b in the equation.
y=2x-3
Hope this helps!
See more on this topic here: brainly.com/question/27172025