Which of these tables represents a function?

Mathematics

1 answer:

koban [17]3 years ago

3 0

Answer:

Step-by-step explanation:

The table that will represent a function is the table where every x-value (domain) has exactly one y-value (range).

Table W represents a function because each x-value has exactly only one y-value.

The other tables have two y-values assigned to a one x-value.

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Step-by-step explanation:

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Write the slope-intercept form of the equation of the line; (-5,-4) and prep. To y equals 5x plus 1

ohaa [14]

Answer:

$y=-\frac{1}{5} x-5$

Step-by-step explanation:

The given line is defined by: $y=5x+1$ , where we see that the slope is 5 and the y-intercept 1.

In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.

"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal: $\frac{1}{5}$ .

We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:

$y=-\frac{1}{5} x+b$