Question

How do you find the equation of the line with slope m=7/8 and point (1,-2)?

Answer 1

`y=7/8x-23/8`

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 represents the slope and `(x_1,y_1)" a point on the line".`

`"here " m=7/8" and " (x_1,y_1)=(1,-2)`

substitute these values into the equation.

`y+2=7/8(x-1)larr" in point-slope form"`

If we distribute and simplify we obtain an alternative form of the equation.

`y+2=7/8x-7/8`

`rArry=7/8x-7/8-2`

`rArry=7/8x-23/8larr" in slope-intercept form"`