Question

How do you write an equation in slope intercept form given that the line passes through the points (4,0) and (0,-4)?

Answer 1

`y=x-4`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"to calculate m use the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(4,0)" amd "(x_2,y_2)=(0,-4)`

`m=(-4-0)/(0-4)=(-4)/(-4)=1`

`"here "b=-4to(0,color(red)(-4))" is y-intercept"`

`y=x-4larrcolor(red)"in slope-intercept form"`