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

`y=2x-14`

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`