Where would the system below intersect on a graph?
y=12x+15
y=15x
I know that:
x=5
y=75
But I need help on how to graph it.
Surely by this point you know how to graph a straight line. Graph both lines, and you will see that they intersect at (5,75). Just put a nice dot where the lines intersect.
You might want to have a larger scale on the y-axis than on the x-axis. Just sayin'.
since x = 5 and y = 75,
you have the point (5,75)
If you are working with the above equations, then you have to be able to plot points on the x-y grid
for (5,75), from the origin go 5 units to the right, then up 75
You might want to scale your graph,
e.g. one space on the gird is 5 units
To graph the system of equations y=12x+15 and y=15x, you can follow these steps:
1. Start by selecting a range of values for x that you will use to plot the graph. Let's say -10 to 10 would be a suitable range for this case.
2. Substitute different values of x into both equations to calculate the corresponding values of y. For example, when x = -10:
- For the equation y=12x+15, substitute x = -10:
y = 12(-10) + 15
y = -120 + 15
y = -105
- For the equation y=15x, substitute x = -10:
y = 15(-10)
y = -150
Repeat this process for several other values of x within the chosen range.
3. Plot the points (x, y) calculated in step 2 on a graph, using the x-axis to represent the values of x and the y-axis to represent the values of y. Connect the plotted points with a straight line for each equation.
4. The intersection point of the two lines represents the solution to the system of equations. In this case, x=5 and y=75.
Using this method, you can graph any system of equations and find their intersection point.