the function that has an x-intercept of -2 and a y-intercept of −(2/3)

sagnuhh

sagnuhh

Answered question

2021-01-10

the function that has an x-intercept of -2 and a y-intercept of (23)

Answer & Explanation

coffentw

coffentw

Skilled2021-01-11Added 103 answers

Use the slope-intercept form of a line:
y=mx+b
The xx-intercept represents point (−2,0) so by substitution,
0=m(2)+b
2m=b(1)
The yy-intercept represents point (0,23) so by substitution, 23=m(0)+b
23=b
Solve for m by substituting (2) to (1): 2m=(23)
m=(13)
Hence, the function is: y=(13)x(23)
or
f(x)=(13)x(23)

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Answer is given below (on video)

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