y=3(x-4)+1  i would like to know the slope and the point  

2 Answers

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Matthew Fonda | eNotes Employee

Posted on

Given an equation in the form of

`y = mx + b`

the slope is given by m, and the y-intercept is given by b.

We'll transform the given equation into that form:

`y = 3(x - 4) + 1`

Multiply each term in the parentheses by 3:

`\implies y = 3x - 12 + 1`

Next, combine like terms by adding 1 to -12:

`\implies y = 3x - 11`

Therefore the slope of the given equation is 3 and the y-intercept is -11.

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Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on


Recall that the point-slope formula is: 

y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point. 

Its simple step of algebra to change what you have into that form. Subtract 1. 

y - 1 = 3(x - 4)

Its now readily apparent that you have a slope of 3 and one point on it is (4, 1)