Answer:
it actually y=1/3x+17/3
Explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 1/3. So you can right away fill in the equation for a line somewhat to read:
y=1/3x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-2,5). When x of the line is -2, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,5).
So, why not plug in for x the number -2 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-2,5). y=mx+b or 5=1/3 × -2+b, or solving for b: b=5-(1/3)(-2). b=17/3.
The equation of the line that passes through the point (-2,5) with a slope of 1/3
is
y=1/3x+17/3
There's your explanation