Question

Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a slope of -6/7

Answer 1

`y-2=\displaystyle-(6)/(7)(x-1)`

or

`y=\displaystyle-(6)/(7)x+(20)/(7)`

Explanation:

Hi there!

Point-slope form:
`y-y_1=m(x-x_1)` where m is the slope and
`(x_1,y_1)` is a point that falls on the line

Plug in the slope, -6/7, and the given point, (1,2):

`y-2=\displaystyle-(6)/(7)(x-1)`

To write the equation in slope-intercept form, isolate y:

`y-2=\displaystyle-(6)/(7)(x-1)\\\\y-2=\displaystyle-(6)/(7)x+(6)/(7)\\\\y=\displaystyle-(6)/(7)x+(6)/(7)+2\\\\y=\displaystyle-(6)/(7)x+(20)/(7)`

I hope this helps!