Hmmm so, parallel lines have the same slope, so a line that's parallel to <span>y=1/3x-5, will also have the same slope as that one, what would that be anyway? </span> , well, low and behold, since that equation is in slope-intercept form already, we can see is just 1/3. <span> so, what is the equation of a line whose slope is 1/3 and runs through 3, -7?
The point-slope form of this line would be y + 7 = 1/3(x - 3)
Step-by-step explanation:
To start, we need to first note that the new slope will be 1/3. This is because parallel lines have the same slope. Then we can plug that and the point into point-slope form.