Question

Which of the following is an equation in slope-intercept form of the line that passes through the given point and with the given slope m. \left(9,\:4\right);\:m=2( 9 , 4 ) ; m = 2
Group of answer choices

Answer 1

Answer:

$y=2x-14$

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

In this problem we have

$m=2\\point\ (9,4)$

substitute the given in the equation

$4=2(9)+b$

Solve for b

$4=18+b$

subtract 18 both sides

$4-18=b$

$b=-14$

therefore

The linear equation in slope intercept form is equal to

$y=2x-14$