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Write the equation of the line that passes through (3, -2) and has a slope of 4 in point slope form

2 Answers

1 vote

y = mx + b is the equation of a line;


m = slope , b = y-intercept


m = 4 : so we have : y = 4 x +b


We are give a set of points which it passes through, we can simply plug them in:


-2 = 4(3) + b (3 is the x and -2 is the y)


Then: -2 = 12 +b -14 = b


The final equation is : y = 4 x - 14

The answer is: y = 4 x - 14


I hope this helps have a fantastic day!!

User Tohava
by
5.3k points
2 votes

y=mx+b is the equation of a line;

m=slope , b= y-intercept

m=4 ; so we have : y=4x+b

We are give a set of points which it passes through, we can simply plug them in:

-2 = 4(3)+b (3 is the x and -2 is the y)

We get -2 = 12 +b .... -14=b

our final equation is : y=4x-14

User Muhammad Fahad
by
5.4k points
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