Homework Help

Find the equation of a line containing the given point and the slope.   (-3/4, 7) and...

user profile pic

kristenmarieb... | Student, Grade 10 | Valedictorian

Posted February 21, 2013 at 9:52 PM via web

dislike 1 like

Find the equation of a line containing the given point and the slope. 

 (-3/4, 7) and m = -3. 

Leave improper fractions improper.

Tagged with algebra 2, math

1 Answer | Add Yours

user profile pic

embizze | High School Teacher | (Level 1) Educator Emeritus

Posted February 21, 2013 at 10:00 PM (Answer #1)

dislike 1 like

Given a point `(x_1,y_1)` and a slope m the equation of theline is `y-y_1=m(x-x_1)`

So the equation is `y-7=-3(x-(-3/4))`

`y-7=-3(x+3/4)` in point-slope form.

We can solve for y to get the equation in slope-intercept form:

`y=-3x-9/4+7`

------------------------------------------------

`y=-3x+19/4` in slope-intercept form.

------------------------------------------------

Then we can put into standard form:

`4y=-12x+19`

`12x+4y=19` in standard form.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes