What is the point slope equation of the line with slope -12 that goes through the points (5, 3)?
2 answers:
The point-slope form of ay line is:
y-y1=m(x-x1), where m=slope and (x1,y1) is any point on the line.
In this case we are given that m=-12 and (x1,y1) is (5,3) so
y-3=-12(x-5)
Answer:
y = -12x + 63
Step-by-step explanation:
- The equation of a line in a cartesian coordinate system is given by the following linear relationship:
y = mx + c
- The constants m and c are to be determined.
- The constant m denotes the slope of the line which is given as -12.
- To evaluate constant c we will plug the slope m = -12 and use the given point ( 5 , 3 ) as the lines passes through it. Hence, we have:
y = -12x + c
3 = -12(5) + c
3 = - 60 + c
c = 63
- Then the equation of the line can be expressed by plugging in the constants m and c as follows:
y = -12x + 63
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