Hello,
your answer would be:
You want to find the equation for a line that passes through the point (-5,-6) and has a slope of -4.
First of all, remember what the equation of a line is:
y = mx+bWhere:
m is the slope, andb is the y-interceptTo start, you know what m
is; it's just the slope, which you said was -4. So you can right away fill in the equation for a line somewhat to read:y=-4x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:(-5,-6). When x of the line is -5, y of the line must be -6.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 -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 (-5,-6).So, why not plug in for x the number -5 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-5,-6). y=mx+b or -6=-4 × -5+b, or solving for b: b=-6-(-4)(-5). b=-26.
So your answer for this problem would be:
y=-4x-26
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Hope this helps!
