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Which equation does the graph below represent? A coordinate grid is shown. The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y axis values are from negative 10 to positive 10 in increments of 2 for each grid line. A line is shown passing through the ordered pairs negative 4, negative 8 and 0, 0 and 4, 8.Please help as fast as possible!!!!!!

Respuesta :

texaschic101
(0,0)(4,8)
slope = (8 - 0) / (4 - 0) = 8/4 = 2

and since it goes thru the origin, the y int is 0

so ur equation is : y = 2x <==

Answer:

The equation of line is y = 2x.

Step-by-step explanation:

Consider the provided information.

A coordinate grid is shown. The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y axis values are from negative 10 to positive 10 in increments of 2 for each grid line.

The slope intercept form of an equation of line is: y = mx + c

Where m is the slope and c is the y intercept.

[tex]Slope = m = \frac{Rise}{Run}[/tex]

Increments or decrements in x axis value represent the Run. Increments or decrements in y axis value represent the Rise.

It is given that "y axis values are from negative 10 to positive 10 in increments of 2 for each grid line."

Thus the Rise is 2 unit.

The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line,

Thus the Run is 1 unit.

Hence the slope is: [tex] Slope=m=\frac{Rise}{Run}=2[/tex]

It is given that line passing through (0,0) it means the y intercept is 0.

Now substitute the value of m and y intercept in slope intercept form..

y = 2x + 0

y = 2x

Hence, the equation of line is y = 2x.

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