Question

A line with a slope of 3 passes

through the points (2, -1) and (4,5).
Which of the following is not an
equation of the line that passes
through those points?
A. y+1 = 3(x-2)
B. y = 3x-11
C. y = 3x-7
D. y-5 = 3(x-4)

Answer 1

Equation of line in point slope form

• y+1=3(x-2)

A is true

• y-5=3(x-4)

D is true

Simplify first

• y=3x-1

And

• y=3x-7

B is false

Answer 2

B. y = 3x -11

Explanation:

the general equation : (y -y1) = s(x - x1)

with a slope = s = 3

the correct equations are :

passes point (2, -1)

=> y+1=3(x-2) => option A is correct

passes point (4, 5)

=> y-5=3(x-4) => option D is correct

<=> y-5= 3x-12

y = 3x-12+5

y= 3x -7 => option C is correct

so, the incorrect equation is option B.

y = 3x -11