Determine the equation of the line, in slope-intercept form, that will get your spacecraft from Point B to Point C. Point B: (-3, 0), Point C: (-1, -4)........HELP PLEASE

Question

imstuck · Answer

First find the slope using the formula$$\frac{ y _{2} -y _{1}}{ x _{2}-x _{1} }$$That would be $$\frac{ -4-0 }{ -1-(-3) }=\frac{ -4 }{ 2 }=-2$$So the slope is -2.  The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y intercept.  But in order to get there we have to use the point-slope formula because we have points and no y intercept).  The point-slope formula is$$y-y _{1}=m(x-x _{1})$$where m is the slope, y1 is your y coordinate and x1 is your x coordinate of the same given point.  Let's fill this in now using the point (-3, 0).$$y-0=-2(x-(-3))$$Doing the math you get y - 0 = -2x - 6.  Now add 0 to both sides giving you y = -2x - 6.  And that's your answer in slope-intercept form!  The slope is -2, and the y intercept is -6.

anonymous · Answer

omg thank you so much you made it sounds so much easier than my online school........THANKS AGAIN

imstuck · Answer

You're so very welcome!  I love helping (that's why I'm a teacher!)  : )