Question

Please help me, ill mark brainliest

Answer 1

Answer:  $(6,1.5)$  THE GRAPH IS ATTACHED.

Step-by-step explanation:

The Slope-Intercept form of the equation of a line is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

In this case, you have the first equation:

$y=-\frac{1}{2}x+4\frac{1}{2}$

You can identify that:

$m=-\frac{1}{2}\\\\b=4\frac{1}{2}$

If you convert the Mixed number to a Decimal number, you get:

$b=4+0.5=4.5$

Then, knowing the slope and the y-intercept, you can graph the line.

The second equation is:

$3x-4y=12$

Solve for "y":

$-4y=-3x+12\\\\y=\frac{3}{4}x-3$

Knowing that:

$m=\frac{3}{4}\\\\b=-3$

You can graph the line.

The point of intersection between both lines, is the solution of the system. This is:

$(6,1.5)$

Observe the graph attached.