Question

When analyzing three linear functions, Larae noticed that they all intersected at the point (9, 7). What conclusion can Larae come to about the linear function with the largest slope?

A. Larae cannot conclude anything.
B It has the highest y-intercept.
C It has the middle y-intercept.
D It has the lowest y-intercept.

Answer 1

the answer is D. it has the lowest y-intercept

Answer 2

Answer with explanation:

It is given that , analyzing three linear functions, Larae noticed that they all intersected at the point (9,7).

→y=m x+k, represents line having ,slope m and y intercept =k.

Suppose three lines given here intersect at point (9,7), which are

1. 7 x -9 y=0

Y intercept of this line=0

Slope
`=(7)/(9)`

2. x +y=16

Y intercept =16

Slope = -1

3. x-y=2

Y intercept = -2

Slope =1

→→Among the three lines chosen,Slope of line three is largest ,equal to 1,but it has lowest Y intercept.

The Conclusion that can be drawn about the linear function with the largest slope,is

Option D:→ It has the lowest y-intercept .