Answer:
y=-3/4x-4
Explanation:
To start, you know what m is; it's just the slope, which you said was -3/4. So you can right away fill in the equation for a line somewhat to read:
y=-3/4x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-8,2). When x of the line is -8, y of the line must be 2.
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 -3/4 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 (-8,2).
So, why not plug in for x the number -8 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-8,2). y=mx+b or 2=-3/4 × -8+b, or solving for b: b=2-(-3/4)(-8). b=-4.
The equation of the line that passes through the point (-8,2) with a slope of -3/4
is
y=-3/4x-4