Answer:
y=2x+1
Step-by-step 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 2. So you can right away fill in the equation for a line somewhat to read:
y=2x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(1,3). When x of the line is 1, y of the line must be 3.
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 2 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 (1,3).
So, why not plug in for x the number 1 and for y the number 3? This will allow us to solve for b for the particular line that passes through the point you gave!.
(1,3). y=mx+b or 3=2 × 1+b, or solving for b: b=3-(2)(1). b=1.
The equation of the line that passes through the point (1,3) with a slope of 2
is
y=2x+1
