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Which statement about the graph y= 4x - 10 is NOT true?

A. The slope of the line can be written as 4/1
B. The graph crosses the y-axis 10 units below the origin
C. The line has a constant rate of change
D. The graph contains the point (4, -10)

User Pikachu
by
6.5k points

1 Answer

4 votes

Answer:

D. The graph contains the point (4, -10)

Step-by-step explanation:

We have been given an equation of a function:
y=4x-10. We are asked to find which of the given statements are not true about our given function.

A. The slope of the line can be written as 4/1.

We can see from our given equation that slope is 4 we can write 4 as 4/1 as it will not change value of 4, therefore, option A is true.

B. The graph crosses the y-axis 10 units below the origin.

Since we know that b represents y-intercept, where line crosses y-axis. y-intercept for our given equation is -10, which means that our given line crosses y-axis at -10 (10 units below the origin), therefore, option B is true.

C. The line has a constant rate of change.

We can see that slope of line is 4 which means with each increase in x, y will increase by 4 units, which remains constant, therefore, option C is true indeed.

D. The graph contains the point (4, -10)

Since we know that y-intercept is -10, which occurs at x equals 0, therefore, the graph does not contain the point (4,-10) and option D is not true.

User Vedant Shetty
by
6.7k points
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