Answer:
y=3x+14
Step-by-step explanation:
To start, you know what m is; it's just the slope, which you said was 3. So you can right away fill in the equation for a line somewhat to read:
y=3x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-2,8). When x of the line is -2, y of the line must be 8.
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 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 (-2,8).
So, why not plug in for x the number -2 and for y the number 8? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-2,8). y=mx+b or 8=3 × -2+b, or solving for b: b=8-(3)(-2). b=14.
The equation of the line that passes through the point (-2,8) with a slope of 3
is
y=3x+14
