Question

What is the equation in point-slope form and slope intercept form for the line given (−6, 4) and has a slope of 4/3?

Answer 1

`y-4=4/3(x+6)`

Explanation:

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

`•color(white)(x)y-y_1=m(x-x_1)`

`"where m is the slope and "(x_1,y_1)" a point on the line"`

`"here "m=4/3" and "(x_1,y_1)=(-6,4)`

`"substituting these values into the equation gives"`

`y-4=4/3(x-(-6))`

`rArry-4=4/3(x+6)larrcolor(red)"in point-slope form"`