Question

Which graph represents the solution to the given system? y=4x+4 y=4x-3

Answer 1

Answer:

Refer the attached figure.

Step-by-step explanation:

Given : System of equation $y=4x+4,\ y=4x-3$

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

Solution :

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

Equation $y=4x-3$ 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.

Answer 2

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 $\frac{y^2 - y^1}{x^2 - x^1}$ 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.