Question

How to write the slope intercept form of the equation of the line passes through (4,-1), and parallel y=2x-4?

Answer 1

`y=2x-9`

Explanation:

Obtain the equation in `color(blue)"point-slope form"` to begin with.

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

Note that `color(blue)"parallel lines have equal slopes"`

`y=2x-4" is in " color(blue)"slope-intercept form"`

`"That is " y=mx+b larr " slope is m"`

`rArr"slope " =2`

Using `m=2" and " (x_1,y_1)=(4,-1)`

`y-(-1)=2(x-4)rArry+1=2x-8`

`rArry=2x-9" is equation in slope-intercept form"`