Question

How do you write the equation in slope intercept form of the line that has a slope of 2 and contains the point (1,1)?

Answer 1

`y=2x-1`

Explanation:

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

`color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))`
where m represents the slope and b, the y-intercept.

here we have m = 2 and so the partial equation is

`y=2x+b`

To find the value of b, substitute the coordinates of the point (1 ,1) into the partial equation That is x = 1 and y = 1.

`rArr(2xx1)+b=1rArr2+b=1rArrb=-1`

`rArry=2x-1" is equation in slope-intercept form"`