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MissSmartiez
Hello Jessica! 

Here's a little tip: Cancel out all of the options that do not have a line crossing the y-axis at positive 4 and a line crossing the y-axis at negative 3. That should narrow down the possible answer choices significantly. 

Also take two points, and use the formula [tex] \frac{y^2 - y^1}{x^2 - x^1} [/tex] to find out the slope. If both of the lines slope are not 4 (hence m = 4 in the equation), then those are not the correct answers. 

Using both of these tactics, you can solve the problem without visible graphing calculator. 
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Answer:

Refer the attached figure.

Step-by-step explanation:

Given : System of equation [tex]y=4x+4,\ y=4x-3[/tex]

To find : Which graph represents the solution to the given system?

Solution :

Equation [tex]y=4x+4[/tex] plotted with a red line passing through (-1,0) and(0,4).

Equation [tex] y=4x-3[/tex] plotted with a blue line passing through (0,-3) and(0.75,0).

As their slopes are equal i.e. m=4.

So, the equation of lines are parallel.

There is no solution of the equations.

Refer the attached figure of the equations.

Ver imagen pinquancaro

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