Question

How do you write the equation of a line that passes through the point (3, -6) and has a slope of 4?

Answer 1

`y=4x-18`

Explanation:

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

`color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))`
where m represent the slope and `(x_1,y_1)" a point on the line"`

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

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

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

`"distributing and simplifying gives another version"`

`y+6=4x-12`

`rArry=4x-12-6`

`rArry=4x-18larrcolor(red)" in slope-intercept form"`