Question

Find the equation of the line in slope-intercept form.

m=− 4/7 through (14, 3)

Answer 1

all work shown and pictured

Answer 2

Answer:
`y=(-4)/(7)x+11`

Explanation:

The slope intercept form of line with slope 'm' is given by :-

`y=mx+c` , where c is the y-intercept.

The equation of a line that passes through (a,b) and having slope 'm' is

`(y-b)=m (x-a)`

The given point point : (4,3)

Slope :
`(-4)/(7)`

`(y-3)=(-4)/(7)(x-14)\\\\\Rightarrow\ y-3=(-4)/(7)x+(4)/(7)*14\\\\\Rightarrow\ y-3=(-4)/(7)x+8\\\\\Rightarrow\ y=(-4)/(7)x+8+3\\\\\Rightarrow\ y=(-4)/(7)x+11`

, which is in intercept form.

Thus , the equation of the line in slope-intercept form :
`y=(-4)/(7)x+11`