So my teacher is making me solve systems by graphing. One of them was 3x + y = 6 and 2x + 3y = 13 . I converted both of them into slope intercept form and got y = -3x + 6 and y = -2/3x + 13/3 . The thing is I don't know how to graph a fraction ?!?!?! And if I turn that fraction into a decimal, I also won't know how to graph the decimal. Help? (:

OMG SOMEONE HELP PLEASE !!!! :/ I'm desperate

Okay so no one wants to help... alright -_-

Solve without graphing first so that you know what x and y equal.

Then pick three points for each to graph.
3x + y = 6
x = 1, y = 3
x = 2, y = 0
x = 3, y = -3

2x + 3y = 13
x = 1, y = 11/3 = 3.67 (3.67 is a little more than 3 1/2)

x = 2, y = 3
x = 3, y = 7/3 = 2.34 (2.34 is a little more than 2 1/4).

Since you have already solved without graphing, and know the solution for x and y, this should help to see where the lines should intersect.

The solution for this system is,
x = 5/7 = 0.71 approx. which is about 3/4

y = 27/7 = 3 6/7 approx. which is about
4)

Good luck :)

Sure! I can help you with graphing fractions or decimals. Graphing fractions or decimals is fairly straightforward once you understand how to interpret them on a graph.

To graph a linear equation in slope-intercept form, y = mx + b, where "m" represents the slope and "b" represents the y-intercept, you'll need to plot a couple of points and draw a line through them.

Let's start with the equation y = -3x + 6, which you correctly converted from the first equation, 3x + y = 6.

1. Plot the y-intercept: Look at the equation y = -3x + 6. The y-intercept is the point (0, b), where b is the value of the y-intercept. In this case, b = 6. So, plot the point (0, 6) on the graph.

2. Determine the slope: The slope, represented by "m," is the coefficient of x in the equation. In this case, the slope is -3.

3. Find another point: To find another point on the line, you can use the slope. Since the slope is -3, the rise is -3 (move down 3 units), and the run is 1 (move to the right 1 unit) from the y-intercept point. So, starting from (0, 6), move 1 unit to the right and 3 units down. Mark this point on the graph.

4. Draw the line: Once you have two points on the line, draw a straight line through them. This line represents the solution to the equation.

Now let's move on to the second equation, y = -2/3x + 13/3, which you correctly converted from the second equation, 2x + 3y = 13.

1. Plot the y-intercept: Look at the equation y = -2/3x + 13/3. The y-intercept is the point (0, b), where b is the value of the y-intercept. In this case, b = 13/3. So, plot the point (0, 13/3) on the graph.

2. Determine the slope: The slope, represented by "m," is the coefficient of x in the equation. In this case, the slope is -2/3.

3. Find another point: To find another point on the line, you can use the slope. Since the slope is -2/3, the rise is -2 (move down 2 units), and the run is 3 (move to the right 3 units) from the y-intercept point. So, starting from (0, 13/3), move 3 units to the right and 2 units down. Mark this point on the graph.

4. Draw the line: Once you have two points on the line, draw a straight line through them. This line represents the solution to the equation.

Remember, when dealing with fractions or decimals, dividing the y-axis into smaller increments can make it easier to plot points accurately. And if you're using decimals, you can use a ruler to estimate the placement on the graph.

I hope this explanation helps you graph your equations! Let me know if you have any further questions.