3. Does the point (5, 10) fall on the graph of this line? (The line described in questions #1 and #2). How do you know? Show your work algebraically (That is, don’t draw me a graph… show me using numbers, variables, and/or symbols). (2 points).

Respuesta :

Since y is not equal to 10, hence the coordinate point does not fall on the line graph.

Since we are not given a graph, we will use the attached graph as a reference:

The equation of a line is expressed as y = mx + b

m is the slope

b is the y-intercept

Get the slope of the line

[tex]m = \frac{0-(-2)}{-2-0}\\m=\frac{2}{-2}\\m = 1[/tex]

Since the line suts the y-axis at y = -2, hence b = -2

Get the equation of the line:

Recall that y = mx + b

y = x + (-2)

y = x - 2

Next is to check if the coordinate (5, 10) lies on the line

If x = 5

y = x - 2

y = 5 - 2

y = 3

Since y is not equal to 10, hence the coordinate point does not fall on the line graph.

Learn more here: https://brainly.com/question/17003809

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