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Which point(s) lie on the graph of the equation y = -5x - 3?

User Matt Tang
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5 votes
Answer; (-1, 2), (0, -3), (1, -8), (2, -13), (3, -18)

Explanation below in image
Which point(s) lie on the graph of the equation y = -5x - 3?-example-1
User Karpathy
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5 votes

Plug in values of x to find corresponding values of y.

For example, replace x with 0 to find that...

y = -5x-3

y = -5*0 - 3

y = 0 - 3

y = -3

We have x = 0 lead to y = -3.

Therefore, the point (0, -3) is on this line. This is the y intercept.

Now try something like x = 1

y = -5x-3

y = -5*1 - 3

y = -5 - 3

y = -8

It shows the point (1,-8) is also on the line.

The straight line goes through (0,-3) and (1,-8)

We can repeat this process infinitely many times since there are infinitely many numbers to pick for x.

See the graph below. I used GeoGebra to make it, but you can use something like Desmos or similar.

Which point(s) lie on the graph of the equation y = -5x - 3?-example-1
User Nyaarium
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8.3k points

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