SOLUTION: Find the f(x) = mx + b, given the x- and y-intercept of the linear function. x-intercept -8, y-intercept -1,

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
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

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

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