SOLUTION: Determine the f(x) = mx + b, given the x- and y-intercept of the linear function. Thankyou x-intercept -1/3, y-intercept 1/7

Algebra ->  Linear-equations -> SOLUTION: Determine the f(x) = mx + b, given the x- and y-intercept of the linear function. Thankyou x-intercept -1/3, y-intercept 1/7      Log On


   

Question 907849: Determine the f(x) = mx + b, given the x- and y-intercept of the linear function.
Thankyou
x-intercept -1/3, y-intercept 1/7
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+mx+%2B+b, where m=slope and b=y-intercept

given: the x-intercept=-1%2F3 and y-intercept=+1%2F7
we know if we set x=0 we got y-intercept=+1%2F7
+f%280%29+=+m%2A0+%2B+1%2F7 => +f%280%29+=++1%2F7
so, y-intercept is at point (+0+,1%2F7)
and
if we set f%28x%29=0 we got x-intercept=+-1%2F3
so, x-intercept is at point (+-1%2F3+,+0+)

use these two points to find a slope m

Solved by pluggable solver: Finding the slope


Slope of the line through the points (0, 1/7) and (-1/3, 0)



Answer: Slope is m+=+1



now you have your f%28x%29+=+mx+%2B+b and that is f%28x%29+=+1%2Ax+%2B+1%2F7 or just
f%28x%29+=+x+%2B+1%2F7+
graph:
+graph%28+600%2C+600%2C+-3%2C+3%2C+-3%2C+3%2C+x+%2B+1%2F7%29+