Question

Give an example of a linear function whose graph intersects with the y-axis at the same points as the graphs of the following functions.

y= x+11

y= -9x-6

Answer 1

y = mx + 11, where m ≠ 1

For the second line the equation is:

y = mx - 6, where m ≠ -9

Answer 2

Given functions:

• y= x + 11
• y= -9x - 6

They have different y-intercepts, therefore the line to intersect y-axis at the same points is y-axis itself.

The equation is:

• x = 0

The graph is attached

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Note. If the question is about the lines above separately, then the answer is following

The first line has y-intercept of 11, any line with same y-intercept is the answer:

• y = mx + 11, where m ≠ 1

For the second line the equation is:

• y = mx - 6, where m ≠ -9