Question 907441: Find the f(x) = mx + b, given the x- and y-intercept of the linear function.
x-intercept -8, y-intercept -1, Found 2 solutions by ewatrrr, solver91311:Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! (-8,0)
(0,-1) m = 1/-8
the standard slope-intercept form for an equation of a line is where m is the slope and b the y-intercept.
y = (-1/8)x - 1
Let's begin with a lesson on precision in terminology. An intercept is NOT a number, it is a point that is defined by an ordered pair. An -intercept is an ordered pair of the form . Hence, saying that the -intercept is is imprecise. Correctly stated, the -intercept is . Likewise, your -intercept is correctly stated as
Now you can use the two-point form of the equation of a straight line to derive the desired equation:
where and are the coordinates of the given points.
Just plug in the numbers and perform the indicated operation. In order to rearrange the equation into the desired slope-intercept form, solve the equation for in terms of using standard algebraic manipulation of linear equations.
John
My calculator said it, I believe it, that settles it
