SOLUTION: Determine the f(x) = mx + b, given the x- and y-intercept of the linear function. Thanks :) x-intercept -2, y-intercept 4

Algebra ->  Linear-equations -> SOLUTION: Determine the f(x) = mx + b, given the x- and y-intercept of the linear function. Thanks :) x-intercept -2, y-intercept 4      Log On


   



Question 905498: Determine the f(x) = mx + b, given the x- and y-intercept of the linear function.
Thanks :)
x-intercept -2, y-intercept 4

Found 2 solutions by ewatrrr, Math_Boss:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
(-2,0)
(0,4) m = -4/-2 = 2 m+=%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29
the standard slope-intercept form for an equation of a line is
y+=+highlight_green%28m%29x+%2B+highlight%28b%29 where m is the slope and b the y-intercept.
f(x) = 2x + 4

Answer by Math_Boss(45) About Me  (Show Source):
You can put this solution on YOUR website!
"x-intercept -2" means coordinate is (-2, 0)
"y-intercept 4" is b value
f(x)=y
(x, y)
(-2, 0)
Substitute (-2, 0), Substitute b=4
y=mx+b
0=m(-2)+4
0=-2m+4
2m=4
m=2
Ans:f(x)=2x+4